Step 1 :Given that triangles FLY and ANT are similar, the ratio of their corresponding sides is equal. Here, FL corresponds to AN and YF corresponds to TA in the similar triangles.
Step 2 :The missing side in the proportion should be TA.
Step 3 :Final Answer: \(\boxed{\frac{F L}{A N}=\frac{Y F}{T A}}\)