Finding the Third Proportional to 62,082 and 85,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,082 : 85,693.50 = 85,693.50 : x
2. Step 2: Convert to fraction form
   62,082/85,693.50 = 85,693.50/x
3. Step 3: Cross multiply
   62,082x = 85,693.50 × 85,693.50
4. Step 4: Simplify right side
   62,082x = 7,343,375,942.25
5. Step 5: Solve for x
   x = 7,343,375,942.25/62,082
6. Step 6: Final answer
   x = 118,285.11