Finding the Third Proportional to 10.31 and 22.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10.31 : 22.69 = 22.69 : x
2. Step 2: Convert to fraction form
   10.31/22.69 = 22.69/x
3. Step 3: Cross multiply
   10.31x = 22.69 × 22.69
4. Step 4: Simplify right side
   10.31x = 514.72
5. Step 5: Solve for x
   x = 514.72/10.31
6. Step 6: Final answer
   x = 49.91