Finding the Third Proportional to 33,668 and 71,176

Step by Step Solution

1. Step 1: Write the proportion equation
   33,668 : 71,176 = 71,176 : x
2. Step 2: Convert to fraction form
   33,668/71,176 = 71,176/x
3. Step 3: Cross multiply
   33,668x = 71,176 × 71,176
4. Step 4: Simplify right side
   33,668x = 5,066,022,976
5. Step 5: Solve for x
   x = 5,066,022,976/33,668
6. Step 6: Final answer
   x = 150,469.97