Finding the Third Proportional to 102 and 114.38

Step by Step Solution

1. Step 1: Write the proportion equation
   102 : 114.38 = 114.38 : x
2. Step 2: Convert to fraction form
   102/114.38 = 114.38/x
3. Step 3: Cross multiply
   102x = 114.38 × 114.38
4. Step 4: Simplify right side
   102x = 13,081.64
5. Step 5: Solve for x
   x = 13,081.64/102
6. Step 6: Final answer
   x = 128.25