Finding the Third Proportional to 33,080 and 71,988

Step by Step Solution

1. Step 1: Write the proportion equation
   33,080 : 71,988 = 71,988 : x
2. Step 2: Convert to fraction form
   33,080/71,988 = 71,988/x
3. Step 3: Cross multiply
   33,080x = 71,988 × 71,988
4. Step 4: Simplify right side
   33,080x = 5,182,272,144
5. Step 5: Solve for x
   x = 5,182,272,144/33,080
6. Step 6: Final answer
   x = 156,658.77