Finding the Third Proportional to 36,366 and 55,605

Step by Step Solution

1. Step 1: Write the proportion equation
   36,366 : 55,605 = 55,605 : x
2. Step 2: Convert to fraction form
   36,366/55,605 = 55,605/x
3. Step 3: Cross multiply
   36,366x = 55,605 × 55,605
4. Step 4: Simplify right side
   36,366x = 3,091,916,025
5. Step 5: Solve for x
   x = 3,091,916,025/36,366
6. Step 6: Final answer
   x = 85,022.16