Finding the Third Proportional to 33.47 and 72.84

Step by Step Solution

1. Step 1: Write the proportion equation
   33.47 : 72.84 = 72.84 : x
2. Step 2: Convert to fraction form
   33.47/72.84 = 72.84/x
3. Step 3: Cross multiply
   33.47x = 72.84 × 72.84
4. Step 4: Simplify right side
   33.47x = 5,306.21
5. Step 5: Solve for x
   x = 5,306.21/33.47
6. Step 6: Final answer
   x = 158.54