Finding the Third Proportional to 22,662 and 49,357

Step by Step Solution

1. Step 1: Write the proportion equation
   22,662 : 49,357 = 49,357 : x
2. Step 2: Convert to fraction form
   22,662/49,357 = 49,357/x
3. Step 3: Cross multiply
   22,662x = 49,357 × 49,357
4. Step 4: Simplify right side
   22,662x = 2,436,113,449
5. Step 5: Solve for x
   x = 2,436,113,449/22,662
6. Step 6: Final answer
   x = 107,497.73