Finding the Third Proportional to 6,828 and 13,128

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828 : 13,128 = 13,128 : x
2. Step 2: Convert to fraction form
   6,828/13,128 = 13,128/x
3. Step 3: Cross multiply
   6,828x = 13,128 × 13,128
4. Step 4: Simplify right side
   6,828x = 172,344,384
5. Step 5: Solve for x
   x = 172,344,384/6,828
6. Step 6: Final answer
   x = 25,240.83