Finding the Third Proportional to 20,496 and 31,419

Step by Step Solution

1. Step 1: Write the proportion equation
   20,496 : 31,419 = 31,419 : x
2. Step 2: Convert to fraction form
   20,496/31,419 = 31,419/x
3. Step 3: Cross multiply
   20,496x = 31,419 × 31,419
4. Step 4: Simplify right side
   20,496x = 987,153,561
5. Step 5: Solve for x
   x = 987,153,561/20,496
6. Step 6: Final answer
   x = 48,163.23