Finding the Third Proportional to 31,124 and 49,498

Step by Step Solution

1. Step 1: Write the proportion equation
   31,124 : 49,498 = 49,498 : x
2. Step 2: Convert to fraction form
   31,124/49,498 = 49,498/x
3. Step 3: Cross multiply
   31,124x = 49,498 × 49,498
4. Step 4: Simplify right side
   31,124x = 2,450,052,004
5. Step 5: Solve for x
   x = 2,450,052,004/31,124
6. Step 6: Final answer
   x = 78,719.06