Finding the Third Proportional to 11,688 and 25,037

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 25,037 = 25,037 : x
2. Step 2: Convert to fraction form
   11,688/25,037 = 25,037/x
3. Step 3: Cross multiply
   11,688x = 25,037 × 25,037
4. Step 4: Simplify right side
   11,688x = 626,851,369
5. Step 5: Solve for x
   x = 626,851,369/11,688
6. Step 6: Final answer
   x = 53,632.05