Finding the Third Proportional to 10.50 and 14.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 14.25 = 14.25 : x
2. Step 2: Convert to fraction form
   10.50/14.25 = 14.25/x
3. Step 3: Cross multiply
   10.50x = 14.25 × 14.25
4. Step 4: Simplify right side
   10.50x = 203.06
5. Step 5: Solve for x
   x = 203.06/10.50
6. Step 6: Final answer
   x = 19.34