Finding the Third Proportional to 31,724 and 49,188

Step by Step Solution

1. Step 1: Write the proportion equation
   31,724 : 49,188 = 49,188 : x
2. Step 2: Convert to fraction form
   31,724/49,188 = 49,188/x
3. Step 3: Cross multiply
   31,724x = 49,188 × 49,188
4. Step 4: Simplify right side
   31,724x = 2,419,459,344
5. Step 5: Solve for x
   x = 2,419,459,344/31,724
6. Step 6: Final answer
   x = 76,265.90