Finding the Third Proportional to 32,976 and 75,150

Step by Step Solution

1. Step 1: Write the proportion equation
   32,976 : 75,150 = 75,150 : x
2. Step 2: Convert to fraction form
   32,976/75,150 = 75,150/x
3. Step 3: Cross multiply
   32,976x = 75,150 × 75,150
4. Step 4: Simplify right side
   32,976x = 5,647,522,500
5. Step 5: Solve for x
   x = 5,647,522,500/32,976
6. Step 6: Final answer
   x = 171,261.60