Finding the Third Proportional to 76.50 and 127.88

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 127.88 = 127.88 : x
2. Step 2: Convert to fraction form
   76.50/127.88 = 127.88/x
3. Step 3: Cross multiply
   76.50x = 127.88 × 127.88
4. Step 4: Simplify right side
   76.50x = 16,352.02
5. Step 5: Solve for x
   x = 16,352.02/76.50
6. Step 6: Final answer
   x = 213.75