Finding the Third Proportional to 32,826 and 71,668

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 71,668 = 71,668 : x
2. Step 2: Convert to fraction form
   32,826/71,668 = 71,668/x
3. Step 3: Cross multiply
   32,826x = 71,668 × 71,668
4. Step 4: Simplify right side
   32,826x = 5,136,302,224
5. Step 5: Solve for x
   x = 5,136,302,224/32,826
6. Step 6: Final answer
   x = 156,470.55