Finding the Third Proportional to 32,668.50 and 71,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,668.50 : 71,563.50 = 71,563.50 : x
2. Step 2: Convert to fraction form
   32,668.50/71,563.50 = 71,563.50/x
3. Step 3: Cross multiply
   32,668.50x = 71,563.50 × 71,563.50
4. Step 4: Simplify right side
   32,668.50x = 5,121,334,532.25
5. Step 5: Solve for x
   x = 5,121,334,532.25/32,668.50
6. Step 6: Final answer
   x = 156,766.75