Finding the Third Proportional to 41,138 and 45,458

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 45,458 = 45,458 : x
2. Step 2: Convert to fraction form
   41,138/45,458 = 45,458/x
3. Step 3: Cross multiply
   41,138x = 45,458 × 45,458
4. Step 4: Simplify right side
   41,138x = 2,066,429,764
5. Step 5: Solve for x
   x = 2,066,429,764/41,138
6. Step 6: Final answer
   x = 50,231.65