Finding the Third Proportional to 32.75 and 72.06

Step by Step Solution

1. Step 1: Write the proportion equation
   32.75 : 72.06 = 72.06 : x
2. Step 2: Convert to fraction form
   32.75/72.06 = 72.06/x
3. Step 3: Cross multiply
   32.75x = 72.06 × 72.06
4. Step 4: Simplify right side
   32.75x = 5,193.00
5. Step 5: Solve for x
   x = 5,193.00/32.75
6. Step 6: Final answer
   x = 158.57