Population cannot continue to grow at any rate indefinitely. It cycles up and down. We are in a global acceleration rate because of technology, in part - in otherwords, the existence of technology has altered the global environment such that it can sustain more humans and a higher rate of population growth. Now if technology were to disappear or be reversed largly then we would have a problem. Likewise, if technology continues to develop in ways which further increase livability factors then the number of people capable of being sustained by the planet will continue to rise.
There are two issues here: the total population that can be sustained within a niche, and the rate at which population increases or decreases. Technology impacts both, but primarily the first directly, and the second indirectly, through the first. But the second factor here other than technology is simply the filling of as-of-yet-unfilled niche potentials: A niche (in this case, we can look at the globe itself for simplicity, but in reality we are talking about targeted niches within nations, primarily identified by geographic/agrucultural/economic features) has a capacity X for sustaining a given Y number of individuals - when this capacity is increased then there is a lag period within which Y needs time to increase to the new X. So as this applies to our current global situation (the sum of all localised niches), technology over the last 100-1000 years has increased X by an astronomical amount - and the greater the increase, the longer lag period is needed to fill this new capacity - so Y is steadily increasing to accomodate the new capacities of X.
I am using symbols here for simplicity sake. But if you prefer: technology has allowed vastly more people to live together than previously was possible, and so people begin to live together in these new capacities. This “filling” takes time. Further complicating the issue is the fact that technology development has not stopped, nor is it steady, but is itself increasing. Thus you get the exponential growth rates of overall population, which themselves are a product of ordinary statistical unrestricted population growth in a natural setting combined with the exponential growth rate of the capacity of the niche to sustain a given X number of individuals (i.e. the exponentially increasing rate of technological development).
What does all this mean? It means, at its most basic, that your assumption that the earth cannot sustain its current population, much less an increasing population, is unfounded. On the surface the fact that earth is sustaining its current population, by definition, refutes the basic claim itself. And when we look at projected future populations we see that not only is there no reason to assume that we can know for certain what the given carrying capacity is within the global system of aggregate local niches, but also we cannot know the impact of exponentially increasing technological development.
So basically I reject your assumption that earth has a set carrying capacity which is fixed (carrying capacity is changing all the time as a result of local conditions, the most powerful of which is technological application and economic development [e.g. India, China]), and further I reject the assumption that this carrying capacity can be known to any great degree across the entire globe. The fact is that there is no basis for alarm, no reason for panic. Populations fluctuate naturally, and where there is too great a strain on available resources by a growing population then naturally the rate of growth will decline, until actual population reaches a more stable level. Some niches (countries) are growing extremely fast, others are barely growing at all, and some are decreasing population. Replacement rate in first world nations is dropping below 2.1 in many cases. And we already see signs that global population is starting to reign in its exponential rate of increase.
But dont worry - elite globalists already have plans to address your cries for depopulation. Global population reduction by as much as 80-90% has been an unofficial but nonetheless openly stated goal of international organisations such as the UN for some time now. Without a doubt they will accomplish their goal, and you can then rest easy that the world is now “safe” from the horrors of “overpopulation”. . . that is, as long as you are one of the survivors.