Finding the Third Proportional to 32.91 and 72.46

Step by Step Solution

1. Step 1: Write the proportion equation
   32.91 : 72.46 = 72.46 : x
2. Step 2: Convert to fraction form
   32.91/72.46 = 72.46/x
3. Step 3: Cross multiply
   32.91x = 72.46 × 72.46
4. Step 4: Simplify right side
   32.91x = 5,250.02
5. Step 5: Solve for x
   x = 5,250.02/32.91
6. Step 6: Final answer
   x = 159.54