Finding the Third Proportional to 22,584 and 49,472

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 49,472 = 49,472 : x
2. Step 2: Convert to fraction form
   22,584/49,472 = 49,472/x
3. Step 3: Cross multiply
   22,584x = 49,472 × 49,472
4. Step 4: Simplify right side
   22,584x = 2,447,478,784
5. Step 5: Solve for x
   x = 2,447,478,784/22,584
6. Step 6: Final answer
   x = 108,372.25