Finding the Third Proportional to 115.75 and 127.38

Step by Step Solution

1. Step 1: Write the proportion equation
   115.75 : 127.38 = 127.38 : x
2. Step 2: Convert to fraction form
   115.75/127.38 = 127.38/x
3. Step 3: Cross multiply
   115.75x = 127.38 × 127.38
4. Step 4: Simplify right side
   115.75x = 16,224.39
5. Step 5: Solve for x
   x = 16,224.39/115.75
6. Step 6: Final answer
   x = 140.17