Finding the Third Proportional to 41,646 and 65,259

Step by Step Solution

1. Step 1: Write the proportion equation
   41,646 : 65,259 = 65,259 : x
2. Step 2: Convert to fraction form
   41,646/65,259 = 65,259/x
3. Step 3: Cross multiply
   41,646x = 65,259 × 65,259
4. Step 4: Simplify right side
   41,646x = 4,258,737,081
5. Step 5: Solve for x
   x = 4,258,737,081/41,646
6. Step 6: Final answer
   x = 102,260.41