Finding the Third Proportional to 22,843 and 49,825

Step by Step Solution

1. Step 1: Write the proportion equation
   22,843 : 49,825 = 49,825 : x
2. Step 2: Convert to fraction form
   22,843/49,825 = 49,825/x
3. Step 3: Cross multiply
   22,843x = 49,825 × 49,825
4. Step 4: Simplify right side
   22,843x = 2,482,530,625
5. Step 5: Solve for x
   x = 2,482,530,625/22,843
6. Step 6: Final answer
   x = 108,677.96