Finding the Third Proportional to 33.05 and 71.16

Step by Step Solution

1. Step 1: Write the proportion equation
   33.05 : 71.16 = 71.16 : x
2. Step 2: Convert to fraction form
   33.05/71.16 = 71.16/x
3. Step 3: Cross multiply
   33.05x = 71.16 × 71.16
4. Step 4: Simplify right side
   33.05x = 5,063.21
5. Step 5: Solve for x
   x = 5,063.21/33.05
6. Step 6: Final answer
   x = 153.21