Finding the Third Proportional to 22,582 and 49,540

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582 : 49,540 = 49,540 : x
2. Step 2: Convert to fraction form
   22,582/49,540 = 49,540/x
3. Step 3: Cross multiply
   22,582x = 49,540 × 49,540
4. Step 4: Simplify right side
   22,582x = 2,454,211,600
5. Step 5: Solve for x
   x = 2,454,211,600/22,582
6. Step 6: Final answer
   x = 108,679.99