Finding the Third Proportional to 22,752 and 49,264

Step by Step Solution

1. Step 1: Write the proportion equation
   22,752 : 49,264 = 49,264 : x
2. Step 2: Convert to fraction form
   22,752/49,264 = 49,264/x
3. Step 3: Cross multiply
   22,752x = 49,264 × 49,264
4. Step 4: Simplify right side
   22,752x = 2,426,941,696
5. Step 5: Solve for x
   x = 2,426,941,696/22,752
6. Step 6: Final answer
   x = 106,669.38