Finding the Third Proportional to 4.69 and 10.22

Step by Step Solution

1. Step 1: Write the proportion equation
   4.69 : 10.22 = 10.22 : x
2. Step 2: Convert to fraction form
   4.69/10.22 = 10.22/x
3. Step 3: Cross multiply
   4.69x = 10.22 × 10.22
4. Step 4: Simplify right side
   4.69x = 104.42
5. Step 5: Solve for x
   x = 104.42/4.69
6. Step 6: Final answer
   x = 22.28