Finding the Third Proportional to 16,864 and 25,552

Step by Step Solution

1. Step 1: Write the proportion equation
   16,864 : 25,552 = 25,552 : x
2. Step 2: Convert to fraction form
   16,864/25,552 = 25,552/x
3. Step 3: Cross multiply
   16,864x = 25,552 × 25,552
4. Step 4: Simplify right side
   16,864x = 652,904,704
5. Step 5: Solve for x
   x = 652,904,704/16,864
6. Step 6: Final answer
   x = 38,715.89