Finding the Third Proportional to 41,826 and 65,279

Step by Step Solution

1. Step 1: Write the proportion equation
   41,826 : 65,279 = 65,279 : x
2. Step 2: Convert to fraction form
   41,826/65,279 = 65,279/x
3. Step 3: Cross multiply
   41,826x = 65,279 × 65,279
4. Step 4: Simplify right side
   41,826x = 4,261,347,841
5. Step 5: Solve for x
   x = 4,261,347,841/41,826
6. Step 6: Final answer
   x = 101,882.75