Finding the Third Proportional to 16,599 and 25,405

Step by Step Solution

1. Step 1: Write the proportion equation
   16,599 : 25,405 = 25,405 : x
2. Step 2: Convert to fraction form
   16,599/25,405 = 25,405/x
3. Step 3: Cross multiply
   16,599x = 25,405 × 25,405
4. Step 4: Simplify right side
   16,599x = 645,414,025
5. Step 5: Solve for x
   x = 645,414,025/16,599
6. Step 6: Final answer
   x = 38,882.71