Finding the Third Proportional to 33.56 and 72.61

Step by Step Solution

1. Step 1: Write the proportion equation
   33.56 : 72.61 = 72.61 : x
2. Step 2: Convert to fraction form
   33.56/72.61 = 72.61/x
3. Step 3: Cross multiply
   33.56x = 72.61 × 72.61
4. Step 4: Simplify right side
   33.56x = 5,272.12
5. Step 5: Solve for x
   x = 5,272.12/33.56
6. Step 6: Final answer
   x = 157.08