Finding the Third Proportional to 41,406 and 65,610

Step by Step Solution

1. Step 1: Write the proportion equation
   41,406 : 65,610 = 65,610 : x
2. Step 2: Convert to fraction form
   41,406/65,610 = 65,610/x
3. Step 3: Cross multiply
   41,406x = 65,610 × 65,610
4. Step 4: Simplify right side
   41,406x = 4,304,672,100
5. Step 5: Solve for x
   x = 4,304,672,100/41,406
6. Step 6: Final answer
   x = 103,962.52