Finding the Third Proportional to 32,625 and 71,082

Step by Step Solution

1. Step 1: Write the proportion equation
   32,625 : 71,082 = 71,082 : x
2. Step 2: Convert to fraction form
   32,625/71,082 = 71,082/x
3. Step 3: Cross multiply
   32,625x = 71,082 × 71,082
4. Step 4: Simplify right side
   32,625x = 5,052,650,724
5. Step 5: Solve for x
   x = 5,052,650,724/32,625
6. Step 6: Final answer
   x = 154,870.52