Finding the Third Proportional to 41,494 and 65,974

Step by Step Solution

1. Step 1: Write the proportion equation
   41,494 : 65,974 = 65,974 : x
2. Step 2: Convert to fraction form
   41,494/65,974 = 65,974/x
3. Step 3: Cross multiply
   41,494x = 65,974 × 65,974
4. Step 4: Simplify right side
   41,494x = 4,352,568,676
5. Step 5: Solve for x
   x = 4,352,568,676/41,494
6. Step 6: Final answer
   x = 104,896.34