Finding the Third Proportional to 63.84 and 127.27

Step by Step Solution

1. Step 1: Write the proportion equation
   63.84 : 127.27 = 127.27 : x
2. Step 2: Convert to fraction form
   63.84/127.27 = 127.27/x
3. Step 3: Cross multiply
   63.84x = 127.27 × 127.27
4. Step 4: Simplify right side
   63.84x = 16,196.54
5. Step 5: Solve for x
   x = 16,196.54/63.84
6. Step 6: Final answer
   x = 253.69