Finding the Third Proportional to 42,667 and 65,825

Step by Step Solution

1. Step 1: Write the proportion equation
   42,667 : 65,825 = 65,825 : x
2. Step 2: Convert to fraction form
   42,667/65,825 = 65,825/x
3. Step 3: Cross multiply
   42,667x = 65,825 × 65,825
4. Step 4: Simplify right side
   42,667x = 4,332,930,625
5. Step 5: Solve for x
   x = 4,332,930,625/42,667
6. Step 6: Final answer
   x = 101,552.27