Finding the Third Proportional to 33.75 and 71.88

Step by Step Solution

1. Step 1: Write the proportion equation
   33.75 : 71.88 = 71.88 : x
2. Step 2: Convert to fraction form
   33.75/71.88 = 71.88/x
3. Step 3: Cross multiply
   33.75x = 71.88 × 71.88
4. Step 4: Simplify right side
   33.75x = 5,166.02
5. Step 5: Solve for x
   x = 5,166.02/33.75
6. Step 6: Final answer
   x = 153.07