Finding the Third Proportional to 22,774 and 49,698

Step by Step Solution

1. Step 1: Write the proportion equation
   22,774 : 49,698 = 49,698 : x
2. Step 2: Convert to fraction form
   22,774/49,698 = 49,698/x
3. Step 3: Cross multiply
   22,774x = 49,698 × 49,698
4. Step 4: Simplify right side
   22,774x = 2,469,891,204
5. Step 5: Solve for x
   x = 2,469,891,204/22,774
6. Step 6: Final answer
   x = 108,452.24