How to satisfy multiple stake holders?

I ran into this issue a few times so far:

1. I need to solve a problem.
2. 2 senior people (could be engineers or managers) tell me to use different solutions.
3. They do not talk to each other directly.

I'm the middleman, bouncing back and forth between solutions. Getting blocked at the PR level (sometimes before that too) by either stake holders.

It's demotivating, I do not get things done quick.

What should I do?