Finding the Third Proportional to 32.81 and 72.84

Step by Step Solution

1. Step 1: Write the proportion equation
   32.81 : 72.84 = 72.84 : x
2. Step 2: Convert to fraction form
   32.81/72.84 = 72.84/x
3. Step 3: Cross multiply
   32.81x = 72.84 × 72.84
4. Step 4: Simplify right side
   32.81x = 5,306.21
5. Step 5: Solve for x
   x = 5,306.21/32.81
6. Step 6: Final answer
   x = 161.71