Finding the Third Proportional to 31,874 and 67,540

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 67,540 = 67,540 : x
2. Step 2: Convert to fraction form
   31,874/67,540 = 67,540/x
3. Step 3: Cross multiply
   31,874x = 67,540 × 67,540
4. Step 4: Simplify right side
   31,874x = 4,561,651,600
5. Step 5: Solve for x
   x = 4,561,651,600/31,874
6. Step 6: Final answer
   x = 143,115.13