Finding the Third Proportional to 32,748 and 71,734

Step by Step Solution

1. Step 1: Write the proportion equation
   32,748 : 71,734 = 71,734 : x
2. Step 2: Convert to fraction form
   32,748/71,734 = 71,734/x
3. Step 3: Cross multiply
   32,748x = 71,734 × 71,734
4. Step 4: Simplify right side
   32,748x = 5,145,766,756
5. Step 5: Solve for x
   x = 5,145,766,756/32,748
6. Step 6: Final answer
   x = 157,132.24