Finding the Third Proportional to 41,568 and 64,495

Step by Step Solution

1. Step 1: Write the proportion equation
   41,568 : 64,495 = 64,495 : x
2. Step 2: Convert to fraction form
   41,568/64,495 = 64,495/x
3. Step 3: Cross multiply
   41,568x = 64,495 × 64,495
4. Step 4: Simplify right side
   41,568x = 4,159,605,025
5. Step 5: Solve for x
   x = 4,159,605,025/41,568
6. Step 6: Final answer
   x = 100,067.48