Finding the Third Proportional to 105.75 and 142.88

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 142.88 = 142.88 : x
2. Step 2: Convert to fraction form
   105.75/142.88 = 142.88/x
3. Step 3: Cross multiply
   105.75x = 142.88 × 142.88
4. Step 4: Simplify right side
   105.75x = 20,413.27
5. Step 5: Solve for x
   x = 20,413.27/105.75
6. Step 6: Final answer
   x = 193.03