Finding the Third Proportional to 41,404 and 65,669

Step by Step Solution

1. Step 1: Write the proportion equation
   41,404 : 65,669 = 65,669 : x
2. Step 2: Convert to fraction form
   41,404/65,669 = 65,669/x
3. Step 3: Cross multiply
   41,404x = 65,669 × 65,669
4. Step 4: Simplify right side
   41,404x = 4,312,417,561
5. Step 5: Solve for x
   x = 4,312,417,561/41,404
6. Step 6: Final answer
   x = 104,154.61