Finding the Third Proportional to 76.88 and 127.31

Step by Step Solution

1. Step 1: Write the proportion equation
   76.88 : 127.31 = 127.31 : x
2. Step 2: Convert to fraction form
   76.88/127.31 = 127.31/x
3. Step 3: Cross multiply
   76.88x = 127.31 × 127.31
4. Step 4: Simplify right side
   76.88x = 16,208.47
5. Step 5: Solve for x
   x = 16,208.47/76.88
6. Step 6: Final answer
   x = 210.84