Finding the Third Proportional to 31,542 and 67,734

Step by Step Solution

1. Step 1: Write the proportion equation
   31,542 : 67,734 = 67,734 : x
2. Step 2: Convert to fraction form
   31,542/67,734 = 67,734/x
3. Step 3: Cross multiply
   31,542x = 67,734 × 67,734
4. Step 4: Simplify right side
   31,542x = 4,587,894,756
5. Step 5: Solve for x
   x = 4,587,894,756/31,542
6. Step 6: Final answer
   x = 145,453.51