Finding the Third Proportional to 32.81 and 71.06

Step by Step Solution

1. Step 1: Write the proportion equation
   32.81 : 71.06 = 71.06 : x
2. Step 2: Convert to fraction form
   32.81/71.06 = 71.06/x
3. Step 3: Cross multiply
   32.81x = 71.06 × 71.06
4. Step 4: Simplify right side
   32.81x = 5,049.88
5. Step 5: Solve for x
   x = 5,049.88/32.81
6. Step 6: Final answer
   x = 153.90