Finding the Third Proportional to 23,649 and 50,458

Step by Step Solution

1. Step 1: Write the proportion equation
   23,649 : 50,458 = 50,458 : x
2. Step 2: Convert to fraction form
   23,649/50,458 = 50,458/x
3. Step 3: Cross multiply
   23,649x = 50,458 × 50,458
4. Step 4: Simplify right side
   23,649x = 2,546,009,764
5. Step 5: Solve for x
   x = 2,546,009,764/23,649
6. Step 6: Final answer
   x = 107,658.24