Eventually there will be some extinction event anyway. Is it more important to maximize number of humans who ever lived, or more important to maximize the age of the species? Your stated desires could mean either, but they prescribe very different strategies.
Taking a contrary view: there are too many of us already. A smaller population will be more sustainable in the long term.
Unless you want unlimited growth with a huge apocalyptic human extinction event at the end.
In other words, I don't care specifically about industrial age humans. I want post-industrial and post-post-post-industrial age humans to survive too.