Finding the Third Proportional to 72.75 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   72.75 : 111.69 = 111.69 : x
2. Step 2: Convert to fraction form
   72.75/111.69 = 111.69/x
3. Step 3: Cross multiply
   72.75x = 111.69 × 111.69
4. Step 4: Simplify right side
   72.75x = 12,474.10
5. Step 5: Solve for x
   x = 12,474.10/72.75
6. Step 6: Final answer
   x = 171.47