Finding the Third Proportional to 33.89 and 72.70

Step by Step Solution

1. Step 1: Write the proportion equation
   33.89 : 72.70 = 72.70 : x
2. Step 2: Convert to fraction form
   33.89/72.70 = 72.70/x
3. Step 3: Cross multiply
   33.89x = 72.70 × 72.70
4. Step 4: Simplify right side
   33.89x = 5,285.74
5. Step 5: Solve for x
   x = 5,285.74/33.89
6. Step 6: Final answer
   x = 155.96