Finding the Third Proportional to 16,762 and 25,357

Step by Step Solution

1. Step 1: Write the proportion equation
   16,762 : 25,357 = 25,357 : x
2. Step 2: Convert to fraction form
   16,762/25,357 = 25,357/x
3. Step 3: Cross multiply
   16,762x = 25,357 × 25,357
4. Step 4: Simplify right side
   16,762x = 642,977,449
5. Step 5: Solve for x
   x = 642,977,449/16,762
6. Step 6: Final answer
   x = 38,359.23