Finding the Third Proportional to 33.12 and 71.30

Step by Step Solution

1. Step 1: Write the proportion equation
   33.12 : 71.30 = 71.30 : x
2. Step 2: Convert to fraction form
   33.12/71.30 = 71.30/x
3. Step 3: Cross multiply
   33.12x = 71.30 × 71.30
4. Step 4: Simplify right side
   33.12x = 5,083.24
5. Step 5: Solve for x
   x = 5,083.24/33.12
6. Step 6: Final answer
   x = 153.49