Finding the Third Proportional to 32.91 and 71.16

Step by Step Solution

1. Step 1: Write the proportion equation
   32.91 : 71.16 = 71.16 : x
2. Step 2: Convert to fraction form
   32.91/71.16 = 71.16/x
3. Step 3: Cross multiply
   32.91x = 71.16 × 71.16
4. Step 4: Simplify right side
   32.91x = 5,063.21
5. Step 5: Solve for x
   x = 5,063.21/32.91
6. Step 6: Final answer
   x = 153.87