Finding the Third Proportional to 32,874 and 72,450

Step by Step Solution

1. Step 1: Write the proportion equation
   32,874 : 72,450 = 72,450 : x
2. Step 2: Convert to fraction form
   32,874/72,450 = 72,450/x
3. Step 3: Cross multiply
   32,874x = 72,450 × 72,450
4. Step 4: Simplify right side
   32,874x = 5,249,002,500
5. Step 5: Solve for x
   x = 5,249,002,500/32,874
6. Step 6: Final answer
   x = 159,670.33