Finding the Third Proportional to 32,697 and 71,640

Step by Step Solution

1. Step 1: Write the proportion equation
   32,697 : 71,640 = 71,640 : x
2. Step 2: Convert to fraction form
   32,697/71,640 = 71,640/x
3. Step 3: Cross multiply
   32,697x = 71,640 × 71,640
4. Step 4: Simplify right side
   32,697x = 5,132,289,600
5. Step 5: Solve for x
   x = 5,132,289,600/32,697
6. Step 6: Final answer
   x = 156,965.15