Finding the Third Proportional to 22,664 and 49,360

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 49,360 = 49,360 : x
2. Step 2: Convert to fraction form
   22,664/49,360 = 49,360/x
3. Step 3: Cross multiply
   22,664x = 49,360 × 49,360
4. Step 4: Simplify right side
   22,664x = 2,436,409,600
5. Step 5: Solve for x
   x = 2,436,409,600/22,664
6. Step 6: Final answer
   x = 107,501.31