Finding the Third Proportional to 62.16 and 127.41

Step by Step Solution

1. Step 1: Write the proportion equation
   62.16 : 127.41 = 127.41 : x
2. Step 2: Convert to fraction form
   62.16/127.41 = 127.41/x
3. Step 3: Cross multiply
   62.16x = 127.41 × 127.41
4. Step 4: Simplify right side
   62.16x = 16,232.35
5. Step 5: Solve for x
   x = 16,232.35/62.16
6. Step 6: Final answer
   x = 261.15