Attached is a graph of global population projections from Wikipedia. You can see the median projection forecast a plateau and drop this century and half project more significant drops. I find the drops more likely because they correlate the affect of development and human rights on the birth rate rather than the naive “assume nothing changes” of the continued growth projections

More development, human rights, education of women have a proven history of people choosing a reduced birth rate. We can approach a more sustainable population simply by making everyone’s life better