Finding the Third Proportional to 22,648 and 49,724

Step by Step Solution

1. Step 1: Write the proportion equation
   22,648 : 49,724 = 49,724 : x
2. Step 2: Convert to fraction form
   22,648/49,724 = 49,724/x
3. Step 3: Cross multiply
   22,648x = 49,724 × 49,724
4. Step 4: Simplify right side
   22,648x = 2,472,476,176
5. Step 5: Solve for x
   x = 2,472,476,176/22,648
6. Step 6: Final answer
   x = 109,169.74