Finding the Third Proportional to 89.72 and 105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.72 : 105.75 = 105.75 : x
2. Step 2: Convert to fraction form
   89.72/105.75 = 105.75/x
3. Step 3: Cross multiply
   89.72x = 105.75 × 105.75
4. Step 4: Simplify right side
   89.72x = 11,183.06
5. Step 5: Solve for x
   x = 11,183.06/89.72
6. Step 6: Final answer
   x = 124.65