The reactors tell you how much thermal energy they can generate, and make sure to include the neighbor bonuses. Tier 3 stirling engines produce 8MW of electricity at 95% efficiency. That means they consume 8MW divided by 0.95 or around 8.42 MW of thermal energy. So however much your reactor generates, you can divide that by 8.42MW to get the number of stirlings it can support in equilibrium.
However, if you have any sort of variable power generation like solar or wind, that will take precedence over the stirling engines. It may make sense to slightly overbuild the number of stirling engines so that you can take advantage of the heat that builds up in the reactors when the energy it's being fully utilized and over-produce electricity from your reactor when winds or solar are down. So there isn't an objectively precisely correct ratio of stirlings to build.
The throughput of heat transmitted from stirling to stirling is not as effective as heat pipes, so there is a limited number of them that you can chain directly together. The exact number varies by tier, but it's closer to 2 or 3 than 10. Just FYI in case you were planning on connecting them directly to the sides with no pipes.