Finding the Third Proportional to 41,744 and 64,610

Step by Step Solution

1. Step 1: Write the proportion equation
   41,744 : 64,610 = 64,610 : x
2. Step 2: Convert to fraction form
   41,744/64,610 = 64,610/x
3. Step 3: Cross multiply
   41,744x = 64,610 × 64,610
4. Step 4: Simplify right side
   41,744x = 4,174,452,100
5. Step 5: Solve for x
   x = 4,174,452,100/41,744
6. Step 6: Final answer
   x = 100,001.25