Finding the Third Proportional to 16,605 and 25,339

Step by Step Solution

1. Step 1: Write the proportion equation
   16,605 : 25,339 = 25,339 : x
2. Step 2: Convert to fraction form
   16,605/25,339 = 25,339/x
3. Step 3: Cross multiply
   16,605x = 25,339 × 25,339
4. Step 4: Simplify right side
   16,605x = 642,064,921
5. Step 5: Solve for x
   x = 642,064,921/16,605
6. Step 6: Final answer
   x = 38,666.96