Finding the Third Proportional to 22,344 and 49,116

Step by Step Solution

1. Step 1: Write the proportion equation
   22,344 : 49,116 = 49,116 : x
2. Step 2: Convert to fraction form
   22,344/49,116 = 49,116/x
3. Step 3: Cross multiply
   22,344x = 49,116 × 49,116
4. Step 4: Simplify right side
   22,344x = 2,412,381,456
5. Step 5: Solve for x
   x = 2,412,381,456/22,344
6. Step 6: Final answer
   x = 107,965.51