Finding the Third Proportional to 32.96 and 72.51

Step by Step Solution

1. Step 1: Write the proportion equation
   32.96 : 72.51 = 72.51 : x
2. Step 2: Convert to fraction form
   32.96/72.51 = 72.51/x
3. Step 3: Cross multiply
   32.96x = 72.51 × 72.51
4. Step 4: Simplify right side
   32.96x = 5,257.67
5. Step 5: Solve for x
   x = 5,257.67/32.96
6. Step 6: Final answer
   x = 159.52