Finding the Third Proportional to 32,667 and 71,561

Step by Step Solution

1. Step 1: Write the proportion equation
   32,667 : 71,561 = 71,561 : x
2. Step 2: Convert to fraction form
   32,667/71,561 = 71,561/x
3. Step 3: Cross multiply
   32,667x = 71,561 × 71,561
4. Step 4: Simplify right side
   32,667x = 5,120,976,721
5. Step 5: Solve for x
   x = 5,120,976,721/32,667
6. Step 6: Final answer
   x = 156,762.99