Finding the Third Proportional to 12,082 and 32,530

Step by Step Solution

1. Step 1: Write the proportion equation
   12,082 : 32,530 = 32,530 : x
2. Step 2: Convert to fraction form
   12,082/32,530 = 32,530/x
3. Step 3: Cross multiply
   12,082x = 32,530 × 32,530
4. Step 4: Simplify right side
   12,082x = 1,058,200,900
5. Step 5: Solve for x
   x = 1,058,200,900/12,082
6. Step 6: Final answer
   x = 87,584.91