Finding the Third Proportional to 41,933 and 65,674

Step by Step Solution

1. Step 1: Write the proportion equation
   41,933 : 65,674 = 65,674 : x
2. Step 2: Convert to fraction form
   41,933/65,674 = 65,674/x
3. Step 3: Cross multiply
   41,933x = 65,674 × 65,674
4. Step 4: Simplify right side
   41,933x = 4,313,074,276
5. Step 5: Solve for x
   x = 4,313,074,276/41,933
6. Step 6: Final answer
   x = 102,856.32