Finding the Third Proportional to 41,980 and 65,006

Step by Step Solution

1. Step 1: Write the proportion equation
   41,980 : 65,006 = 65,006 : x
2. Step 2: Convert to fraction form
   41,980/65,006 = 65,006/x
3. Step 3: Cross multiply
   41,980x = 65,006 × 65,006
4. Step 4: Simplify right side
   41,980x = 4,225,780,036
5. Step 5: Solve for x
   x = 4,225,780,036/41,980
6. Step 6: Final answer
   x = 100,661.74