Finding the Third Proportional to 31,872 and 68,082

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 68,082 = 68,082 : x
2. Step 2: Convert to fraction form
   31,872/68,082 = 68,082/x
3. Step 3: Cross multiply
   31,872x = 68,082 × 68,082
4. Step 4: Simplify right side
   31,872x = 4,635,158,724
5. Step 5: Solve for x
   x = 4,635,158,724/31,872
6. Step 6: Final answer
   x = 145,430.43