Finding the Third Proportional to 6 and 10.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6 : 10.83 = 10.83 : x
2. Step 2: Convert to fraction form
   6/10.83 = 10.83/x
3. Step 3: Cross multiply
   6x = 10.83 × 10.83
4. Step 4: Simplify right side
   6x = 117.25
5. Step 5: Solve for x
   x = 117.25/6
6. Step 6: Final answer
   x = 19.54