Enough research into the human genome has already been completed that if I can find the right lab, equipment, and notes I should be able to make several copies of myself (probably lose several hundred of them to mutations for every viable clone all in all, but desperate times...) Proceed to teach them what I can and what their goals in life should be. Some would have to learn to maintain the nuke reactor powering the lab for example. (has to be nuclear, we won't be able to obtain new fuel for quite some time) Others would be responsible for first gathering, then producing food/other resources
Next phase once both time and sufficient hands have been achieved is genetic modification. If the other "disappearing" humans left behind genetic material, frozen blood samples, hair, skin cells, etc, reviving the human race would be fairly easy at this point. If not, things are just a mite tougher. Fortunately, as a male, new genetic material is not strictly necessary, the female variation of the genome is already present. Again, there will be all too many stillbirths and genetic defects, with time and patience however the human race will not die out.
I'd have to retire long before this process was completed, and would likely finish my days compiling a guide for the new generations to follow in establishing a new version of society, drawing heavily from the information resources left behind by current sociologists.
...orrr, I could try and attempt the above, fail miserably, and go play a "salvaged" copy of Skyrim untill the power dies out.