Finding the Third Proportional to 32,667 and 71,562

Step by Step Solution

1. Step 1: Write the proportion equation
   32,667 : 71,562 = 71,562 : x
2. Step 2: Convert to fraction form
   32,667/71,562 = 71,562/x
3. Step 3: Cross multiply
   32,667x = 71,562 × 71,562
4. Step 4: Simplify right side
   32,667x = 5,121,119,844
5. Step 5: Solve for x
   x = 5,121,119,844/32,667
6. Step 6: Final answer
   x = 156,767.38