Finding the Third Proportional to 31,612 and 42,419

Step by Step Solution

1. Step 1: Write the proportion equation
   31,612 : 42,419 = 42,419 : x
2. Step 2: Convert to fraction form
   31,612/42,419 = 42,419/x
3. Step 3: Cross multiply
   31,612x = 42,419 × 42,419
4. Step 4: Simplify right side
   31,612x = 1,799,371,561
5. Step 5: Solve for x
   x = 1,799,371,561/31,612
6. Step 6: Final answer
   x = 56,920.52