Finding the Third Proportional to 22,496 and 49,229

Step by Step Solution

1. Step 1: Write the proportion equation
   22,496 : 49,229 = 49,229 : x
2. Step 2: Convert to fraction form
   22,496/49,229 = 49,229/x
3. Step 3: Cross multiply
   22,496x = 49,229 × 49,229
4. Step 4: Simplify right side
   22,496x = 2,423,494,441
5. Step 5: Solve for x
   x = 2,423,494,441/22,496
6. Step 6: Final answer
   x = 107,730.02