Finding the Third Proportional to 41,864 and 65,121

Step by Step Solution

1. Step 1: Write the proportion equation
   41,864 : 65,121 = 65,121 : x
2. Step 2: Convert to fraction form
   41,864/65,121 = 65,121/x
3. Step 3: Cross multiply
   41,864x = 65,121 × 65,121
4. Step 4: Simplify right side
   41,864x = 4,240,744,641
5. Step 5: Solve for x
   x = 4,240,744,641/41,864
6. Step 6: Final answer
   x = 101,298.12