Finding the Third Proportional to 41,993 and 65,018

Step by Step Solution

1. Step 1: Write the proportion equation
   41,993 : 65,018 = 65,018 : x
2. Step 2: Convert to fraction form
   41,993/65,018 = 65,018/x
3. Step 3: Cross multiply
   41,993x = 65,018 × 65,018
4. Step 4: Simplify right side
   41,993x = 4,227,340,324
5. Step 5: Solve for x
   x = 4,227,340,324/41,993
6. Step 6: Final answer
   x = 100,667.74