Finding the Third Proportional to 127.35 and 138.43

Step by Step Solution

1. Step 1: Write the proportion equation
   127.35 : 138.43 = 138.43 : x
2. Step 2: Convert to fraction form
   127.35/138.43 = 138.43/x
3. Step 3: Cross multiply
   127.35x = 138.43 × 138.43
4. Step 4: Simplify right side
   127.35x = 19,162.24
5. Step 5: Solve for x
   x = 19,162.24/127.35
6. Step 6: Final answer
   x = 150.46