Finding the Third Proportional to 4.71 and 10.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4.71 : 10.27 = 10.27 : x
2. Step 2: Convert to fraction form
   4.71/10.27 = 10.27/x
3. Step 3: Cross multiply
   4.71x = 10.27 × 10.27
4. Step 4: Simplify right side
   4.71x = 105.38
5. Step 5: Solve for x
   x = 105.38/4.71
6. Step 6: Final answer
   x = 22.37