Finding the Third Proportional to 22,596 and 49,552

Step by Step Solution

1. Step 1: Write the proportion equation
   22,596 : 49,552 = 49,552 : x
2. Step 2: Convert to fraction form
   22,596/49,552 = 49,552/x
3. Step 3: Cross multiply
   22,596x = 49,552 × 49,552
4. Step 4: Simplify right side
   22,596x = 2,455,400,704
5. Step 5: Solve for x
   x = 2,455,400,704/22,596
6. Step 6: Final answer
   x = 108,665.28