Finding the Third Proportional to 6,828 and 12,024

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828 : 12,024 = 12,024 : x
2. Step 2: Convert to fraction form
   6,828/12,024 = 12,024/x
3. Step 3: Cross multiply
   6,828x = 12,024 × 12,024
4. Step 4: Simplify right side
   6,828x = 144,576,576
5. Step 5: Solve for x
   x = 144,576,576/6,828
6. Step 6: Final answer
   x = 21,174.07