Finding the Third Proportional to 102.56 and 114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 114.56 = 114.56 : x
2. Step 2: Convert to fraction form
   102.56/114.56 = 114.56/x
3. Step 3: Cross multiply
   102.56x = 114.56 × 114.56
4. Step 4: Simplify right side
   102.56x = 13,124.57
5. Step 5: Solve for x
   x = 13,124.57/102.56
6. Step 6: Final answer
   x = 127.97