Finding the Third Proportional to 33.97 and 72.86

Step by Step Solution

1. Step 1: Write the proportion equation
   33.97 : 72.86 = 72.86 : x
2. Step 2: Convert to fraction form
   33.97/72.86 = 72.86/x
3. Step 3: Cross multiply
   33.97x = 72.86 × 72.86
4. Step 4: Simplify right side
   33.97x = 5,308.49
5. Step 5: Solve for x
   x = 5,308.49/33.97
6. Step 6: Final answer
   x = 156.28