Finding the Third Proportional to 6,744 and 14,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 14,383.50 = 14,383.50 : x
2. Step 2: Convert to fraction form
   6,744/14,383.50 = 14,383.50/x
3. Step 3: Cross multiply
   6,744x = 14,383.50 × 14,383.50
4. Step 4: Simplify right side
   6,744x = 206,885,072.25
5. Step 5: Solve for x
   x = 206,885,072.25/6,744
6. Step 6: Final answer
   x = 30,676.91