Finding the Third Proportional to 20,414 and 31,542

Step by Step Solution

1. Step 1: Write the proportion equation
   20,414 : 31,542 = 31,542 : x
2. Step 2: Convert to fraction form
   20,414/31,542 = 31,542/x
3. Step 3: Cross multiply
   20,414x = 31,542 × 31,542
4. Step 4: Simplify right side
   20,414x = 994,897,764
5. Step 5: Solve for x
   x = 994,897,764/20,414
6. Step 6: Final answer
   x = 48,736.05