Finding the Third Proportional to 32.53 and 71.53

Step by Step Solution

1. Step 1: Write the proportion equation
   32.53 : 71.53 = 71.53 : x
2. Step 2: Convert to fraction form
   32.53/71.53 = 71.53/x
3. Step 3: Cross multiply
   32.53x = 71.53 × 71.53
4. Step 4: Simplify right side
   32.53x = 5,116.72
5. Step 5: Solve for x
   x = 5,116.72/32.53
6. Step 6: Final answer
   x = 157.29