Finding the Third Proportional to 14.25 and 19.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14.25 : 19.50 = 19.50 : x
2. Step 2: Convert to fraction form
   14.25/19.50 = 19.50/x
3. Step 3: Cross multiply
   14.25x = 19.50 × 19.50
4. Step 4: Simplify right side
   14.25x = 380.25
5. Step 5: Solve for x
   x = 380.25/14.25
6. Step 6: Final answer
   x = 26.68