Finding the Third Proportional to 127.88 and 137.91

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 137.91 = 137.91 : x
2. Step 2: Convert to fraction form
   127.88/137.91 = 137.91/x
3. Step 3: Cross multiply
   127.88x = 137.91 × 137.91
4. Step 4: Simplify right side
   127.88x = 19,018.13
5. Step 5: Solve for x
   x = 19,018.13/127.88
6. Step 6: Final answer
   x = 148.72