Finding the Third Proportional to 22,780 and 49,446

Step by Step Solution

1. Step 1: Write the proportion equation
   22,780 : 49,446 = 49,446 : x
2. Step 2: Convert to fraction form
   22,780/49,446 = 49,446/x
3. Step 3: Cross multiply
   22,780x = 49,446 × 49,446
4. Step 4: Simplify right side
   22,780x = 2,444,906,916
5. Step 5: Solve for x
   x = 2,444,906,916/22,780
6. Step 6: Final answer
   x = 107,326.91