Finding the Third Proportional to 109.50 and 112.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 112.75 = 112.75 : x
2. Step 2: Convert to fraction form
   109.50/112.75 = 112.75/x
3. Step 3: Cross multiply
   109.50x = 112.75 × 112.75
4. Step 4: Simplify right side
   109.50x = 12,712.56
5. Step 5: Solve for x
   x = 12,712.56/109.50
6. Step 6: Final answer
   x = 116.10