Finding the Third Proportional to 22,638 and 49,884

Step by Step Solution

1. Step 1: Write the proportion equation
   22,638 : 49,884 = 49,884 : x
2. Step 2: Convert to fraction form
   22,638/49,884 = 49,884/x
3. Step 3: Cross multiply
   22,638x = 49,884 × 49,884
4. Step 4: Simplify right side
   22,638x = 2,488,413,456
5. Step 5: Solve for x
   x = 2,488,413,456/22,638
6. Step 6: Final answer
   x = 109,921.97