Finding the Third Proportional to 31,128 and 49,508

Step by Step Solution

1. Step 1: Write the proportion equation
   31,128 : 49,508 = 49,508 : x
2. Step 2: Convert to fraction form
   31,128/49,508 = 49,508/x
3. Step 3: Cross multiply
   31,128x = 49,508 × 49,508
4. Step 4: Simplify right side
   31,128x = 2,451,042,064
5. Step 5: Solve for x
   x = 2,451,042,064/31,128
6. Step 6: Final answer
   x = 78,740.75