Finding the Third Proportional to 22,770 and 49,282

Step by Step Solution

1. Step 1: Write the proportion equation
   22,770 : 49,282 = 49,282 : x
2. Step 2: Convert to fraction form
   22,770/49,282 = 49,282/x
3. Step 3: Cross multiply
   22,770x = 49,282 × 49,282
4. Step 4: Simplify right side
   22,770x = 2,428,715,524
5. Step 5: Solve for x
   x = 2,428,715,524/22,770
6. Step 6: Final answer
   x = 106,662.96