Finding the Third Proportional to 20,439 and 31,581

Step by Step Solution

1. Step 1: Write the proportion equation
   20,439 : 31,581 = 31,581 : x
2. Step 2: Convert to fraction form
   20,439/31,581 = 31,581/x
3. Step 3: Cross multiply
   20,439x = 31,581 × 31,581
4. Step 4: Simplify right side
   20,439x = 997,359,561
5. Step 5: Solve for x
   x = 997,359,561/20,439
6. Step 6: Final answer
   x = 48,796.89