Finding the Third Proportional to 22,648 and 49,411

Step by Step Solution

1. Step 1: Write the proportion equation
   22,648 : 49,411 = 49,411 : x
2. Step 2: Convert to fraction form
   22,648/49,411 = 49,411/x
3. Step 3: Cross multiply
   22,648x = 49,411 × 49,411
4. Step 4: Simplify right side
   22,648x = 2,441,446,921
5. Step 5: Solve for x
   x = 2,441,446,921/22,648
6. Step 6: Final answer
   x = 107,799.67