Finding the Third Proportional to 10.50 and 22.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 22.88 = 22.88 : x
2. Step 2: Convert to fraction form
   10.50/22.88 = 22.88/x
3. Step 3: Cross multiply
   10.50x = 22.88 × 22.88
4. Step 4: Simplify right side
   10.50x = 523.27
5. Step 5: Solve for x
   x = 523.27/10.50
6. Step 6: Final answer
   x = 49.83