Finding the Third Proportional to 16,477 and 25,535

Step by Step Solution

1. Step 1: Write the proportion equation
   16,477 : 25,535 = 25,535 : x
2. Step 2: Convert to fraction form
   16,477/25,535 = 25,535/x
3. Step 3: Cross multiply
   16,477x = 25,535 × 25,535
4. Step 4: Simplify right side
   16,477x = 652,036,225
5. Step 5: Solve for x
   x = 652,036,225/16,477
6. Step 6: Final answer
   x = 39,572.51