Finding the Third Proportional to 42,933 and 65,675

Step by Step Solution

1. Step 1: Write the proportion equation
   42,933 : 65,675 = 65,675 : x
2. Step 2: Convert to fraction form
   42,933/65,675 = 65,675/x
3. Step 3: Cross multiply
   42,933x = 65,675 × 65,675
4. Step 4: Simplify right side
   42,933x = 4,313,205,625
5. Step 5: Solve for x
   x = 4,313,205,625/42,933
6. Step 6: Final answer
   x = 100,463.64