Finding the Third Proportional to 33.61 and 72.70

Step by Step Solution

1. Step 1: Write the proportion equation
   33.61 : 72.70 = 72.70 : x
2. Step 2: Convert to fraction form
   33.61/72.70 = 72.70/x
3. Step 3: Cross multiply
   33.61x = 72.70 × 72.70
4. Step 4: Simplify right side
   33.61x = 5,285.74
5. Step 5: Solve for x
   x = 5,285.74/33.61
6. Step 6: Final answer
   x = 157.27