Finding the Third Proportional to 33.06 and 71.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33.06 : 71.69 = 71.69 : x
2. Step 2: Convert to fraction form
   33.06/71.69 = 71.69/x
3. Step 3: Cross multiply
   33.06x = 71.69 × 71.69
4. Step 4: Simplify right side
   33.06x = 5,139.10
5. Step 5: Solve for x
   x = 5,139.10/33.06
6. Step 6: Final answer
   x = 155.44