Finding the Third Proportional to 33.54 and 72.07

Step by Step Solution

1. Step 1: Write the proportion equation
   33.54 : 72.07 = 72.07 : x
2. Step 2: Convert to fraction form
   33.54/72.07 = 72.07/x
3. Step 3: Cross multiply
   33.54x = 72.07 × 72.07
4. Step 4: Simplify right side
   33.54x = 5,194.13
5. Step 5: Solve for x
   x = 5,194.13/33.54
6. Step 6: Final answer
   x = 154.87