Finding the Third Proportional to 102.89 and 111.14

Step by Step Solution

1. Step 1: Write the proportion equation
   102.89 : 111.14 = 111.14 : x
2. Step 2: Convert to fraction form
   102.89/111.14 = 111.14/x
3. Step 3: Cross multiply
   102.89x = 111.14 × 111.14
4. Step 4: Simplify right side
   102.89x = 12,352.24
5. Step 5: Solve for x
   x = 12,352.24/102.89
6. Step 6: Final answer
   x = 120.05