Broke my water pump bolt. Now what? (Update - broken bolt is out)

I agree with not using an ease out. Those things are made for one reason. Breaking off and making it impossible to fix. It's broken because it goes into water. This is why it's SO important to coat bolts with some form of sealer. I like RTV.

That said, You should have a small MIG welder. They are worth their weight in gold. Saying "I don't weld" is really a cop out if you change your own oil. Anyone who works on their own car should have one. Even with no welding experience, you could have that outta there in five minutes.

Without the welder, I would continue soaking it with PBlaster. Get two ball peen hammers. Take the flat face of one and put it on top of the broken bolt. Then smack the other end of the hammer with the other hammer. This way, you will deliver the shock through the broken bolt and greatly reduce flattening the bolt, since you're not hitting it directly. I agree with cutting a slot in the bolt. It's likely not gonna work, but without a welder, your hands are tied. Maybe you have a friend locally who has one he'd bring over? If I was local, I'd come get it out for you.