Finding the Third Proportional to 22,786 and 49,458

Step by Step Solution

1. Step 1: Write the proportion equation
   22,786 : 49,458 = 49,458 : x
2. Step 2: Convert to fraction form
   22,786/49,458 = 49,458/x
3. Step 3: Cross multiply
   22,786x = 49,458 × 49,458
4. Step 4: Simplify right side
   22,786x = 2,446,093,764
5. Step 5: Solve for x
   x = 2,446,093,764/22,786
6. Step 6: Final answer
   x = 107,350.73