Finding the Third Proportional to 13.78 and 19.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13.78 : 19.83 = 19.83 : x
2. Step 2: Convert to fraction form
   13.78/19.83 = 19.83/x
3. Step 3: Cross multiply
   13.78x = 19.83 × 19.83
4. Step 4: Simplify right side
   13.78x = 393.15
5. Step 5: Solve for x
   x = 393.15/13.78
6. Step 6: Final answer
   x = 28.53