Finding the Third Proportional to 32.95 and 72.30

Step by Step Solution

1. Step 1: Write the proportion equation
   32.95 : 72.30 = 72.30 : x
2. Step 2: Convert to fraction form
   32.95/72.30 = 72.30/x
3. Step 3: Cross multiply
   32.95x = 72.30 × 72.30
4. Step 4: Simplify right side
   32.95x = 5,227.61
5. Step 5: Solve for x
   x = 5,227.61/32.95
6. Step 6: Final answer
   x = 158.66