Finding the Third Proportional to 32.53 and 72.57

Step by Step Solution

1. Step 1: Write the proportion equation
   32.53 : 72.57 = 72.57 : x
2. Step 2: Convert to fraction form
   32.53/72.57 = 72.57/x
3. Step 3: Cross multiply
   32.53x = 72.57 × 72.57
4. Step 4: Simplify right side
   32.53x = 5,266.35
5. Step 5: Solve for x
   x = 5,266.35/32.53
6. Step 6: Final answer
   x = 161.89