Finding the Third Proportional to 33.10 and 71.01

Step by Step Solution

1. Step 1: Write the proportion equation
   33.10 : 71.01 = 71.01 : x
2. Step 2: Convert to fraction form
   33.10/71.01 = 71.01/x
3. Step 3: Cross multiply
   33.10x = 71.01 × 71.01
4. Step 4: Simplify right side
   33.10x = 5,042.91
5. Step 5: Solve for x
   x = 5,042.91/33.10
6. Step 6: Final answer
   x = 152.34