Finding the Third Proportional to 33,120 and 71,768

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 71,768 = 71,768 : x
2. Step 2: Convert to fraction form
   33,120/71,768 = 71,768/x
3. Step 3: Cross multiply
   33,120x = 71,768 × 71,768
4. Step 4: Simplify right side
   33,120x = 5,150,645,824
5. Step 5: Solve for x
   x = 5,150,645,824/33,120
6. Step 6: Final answer
   x = 155,514.67