Finding the Third Proportional to 41,300 and 65,643

Step by Step Solution

1. Step 1: Write the proportion equation
   41,300 : 65,643 = 65,643 : x
2. Step 2: Convert to fraction form
   41,300/65,643 = 65,643/x
3. Step 3: Cross multiply
   41,300x = 65,643 × 65,643
4. Step 4: Simplify right side
   41,300x = 4,309,003,449
5. Step 5: Solve for x
   x = 4,309,003,449/41,300
6. Step 6: Final answer
   x = 104,334.22