I have two layers(school districts) that changed boundaries. My third layer is the precincts layer. I need to found which precincts corresponds now to the new school district boundaries. Is there a tool that I can do this using 3 layers?
If I'm understanding your question correctly: merge both district layers together, then spatially join the precincts to the combined districts to determine which one it lands in. If the precinct can span multiple districts then the Intersect tool combined with a check for the largest intersecting area could prove more useful.