The crack was just to the left of the center back, under the center brace, so it was stable. I used thin CA glue to further stabilize the crack and I put light counter-pressure on the higher side so that both sides were even. I used a razor blade to even out the glue, then sanded the entire back of the guitar; I was careful not to go down into the wood, but I removed a good 90% of the finish. All of the sanding was done by hand, using 400 grit and a small block of wood.
I used hand applied polyurethane and applied 6 very light coats, sanding lightly between each. After the 6th coat, I polished the back with glass stove-top polish, to make sure that it was very smooth (I'm waiting for a luthier to have heart failure about now!). I put a final 7th coat on the guitar to give it this high polish.
The original finish on the guitar is high polish, so this is what I had to match. I must have done it properly, because she's singing very sweetly with a long sustain and beautiful tone.
Here are photos of the repair:
This is the 8 inch crack:

This is the back after my repair:

This is the high polish original finish I had to match:

