Finding the Third Proportional to 6,828 and 12,180

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828 : 12,180 = 12,180 : x
2. Step 2: Convert to fraction form
   6,828/12,180 = 12,180/x
3. Step 3: Cross multiply
   6,828x = 12,180 × 12,180
4. Step 4: Simplify right side
   6,828x = 148,352,400
5. Step 5: Solve for x
   x = 148,352,400/6,828
6. Step 6: Final answer
   x = 21,727.07