Finding the Third Proportional to 20,741 and 31,496

Step by Step Solution

1. Step 1: Write the proportion equation
   20,741 : 31,496 = 31,496 : x
2. Step 2: Convert to fraction form
   20,741/31,496 = 31,496/x
3. Step 3: Cross multiply
   20,741x = 31,496 × 31,496
4. Step 4: Simplify right side
   20,741x = 991,998,016
5. Step 5: Solve for x
   x = 991,998,016/20,741
6. Step 6: Final answer
   x = 47,827.88