It took thousands of years for Europeans to develop the technology and the will to explore the New World. Another half a millennium went by before Americans reached the Moon. Little more than a decade from now, humans could physically escape the Gravity Well.
By 2030, we can have a small working colony of humans on the Moon.
By that same date, we can be mining ice and precious metals on asteroids.
By 2040, we can have a colony on Mars.
By 2050, we can have probes on other, more habitable celestial bodies, more new worlds. All within the lifetime of some readers.
We are not done. We have barely begun.