Finding the Third Proportional to 6,828 and 10,199

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828 : 10,199 = 10,199 : x
2. Step 2: Convert to fraction form
   6,828/10,199 = 10,199/x
3. Step 3: Cross multiply
   6,828x = 10,199 × 10,199
4. Step 4: Simplify right side
   6,828x = 104,019,601
5. Step 5: Solve for x
   x = 104,019,601/6,828
6. Step 6: Final answer
   x = 15,234.27