Finding the Third Proportional to 22,874 and 49,758

Step by Step Solution

1. Step 1: Write the proportion equation
   22,874 : 49,758 = 49,758 : x
2. Step 2: Convert to fraction form
   22,874/49,758 = 49,758/x
3. Step 3: Cross multiply
   22,874x = 49,758 × 49,758
4. Step 4: Simplify right side
   22,874x = 2,475,858,564
5. Step 5: Solve for x
   x = 2,475,858,564/22,874
6. Step 6: Final answer
   x = 108,238.99