Finding the Third Proportional to 31,082 and 49,432

Step by Step Solution

1. Step 1: Write the proportion equation
   31,082 : 49,432 = 49,432 : x
2. Step 2: Convert to fraction form
   31,082/49,432 = 49,432/x
3. Step 3: Cross multiply
   31,082x = 49,432 × 49,432
4. Step 4: Simplify right side
   31,082x = 2,443,522,624
5. Step 5: Solve for x
   x = 2,443,522,624/31,082
6. Step 6: Final answer
   x = 78,615.36