Finding the Third Proportional to 41,544 and 65,340

Step by Step Solution

1. Step 1: Write the proportion equation
   41,544 : 65,340 = 65,340 : x
2. Step 2: Convert to fraction form
   41,544/65,340 = 65,340/x
3. Step 3: Cross multiply
   41,544x = 65,340 × 65,340
4. Step 4: Simplify right side
   41,544x = 4,269,315,600
5. Step 5: Solve for x
   x = 4,269,315,600/41,544
6. Step 6: Final answer
   x = 102,766.12