Finding the Third Proportional to 105.75 and 116.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 116.75 = 116.75 : x
2. Step 2: Convert to fraction form
   105.75/116.75 = 116.75/x
3. Step 3: Cross multiply
   105.75x = 116.75 × 116.75
4. Step 4: Simplify right side
   105.75x = 13,630.56
5. Step 5: Solve for x
   x = 13,630.56/105.75
6. Step 6: Final answer
   x = 128.89