Finding the Third Proportional to 8,193 and 10,983

Step by Step Solution

1. Step 1: Write the proportion equation
   8,193 : 10,983 = 10,983 : x
2. Step 2: Convert to fraction form
   8,193/10,983 = 10,983/x
3. Step 3: Cross multiply
   8,193x = 10,983 × 10,983
4. Step 4: Simplify right side
   8,193x = 120,626,289
5. Step 5: Solve for x
   x = 120,626,289/8,193
6. Step 6: Final answer
   x = 14,723.09