Finding the Third Proportional to 41,838 and 65,231

Step by Step Solution

1. Step 1: Write the proportion equation
   41,838 : 65,231 = 65,231 : x
2. Step 2: Convert to fraction form
   41,838/65,231 = 65,231/x
3. Step 3: Cross multiply
   41,838x = 65,231 × 65,231
4. Step 4: Simplify right side
   41,838x = 4,255,083,361
5. Step 5: Solve for x
   x = 4,255,083,361/41,838
6. Step 6: Final answer
   x = 101,703.79