Finding the Third Proportional to 41,978 and 65,519

Step by Step Solution

1. Step 1: Write the proportion equation
   41,978 : 65,519 = 65,519 : x
2. Step 2: Convert to fraction form
   41,978/65,519 = 65,519/x
3. Step 3: Cross multiply
   41,978x = 65,519 × 65,519
4. Step 4: Simplify right side
   41,978x = 4,292,739,361
5. Step 5: Solve for x
   x = 4,292,739,361/41,978
6. Step 6: Final answer
   x = 102,261.65