Finding the Third Proportional to 6,837 and 10,449

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837 : 10,449 = 10,449 : x
2. Step 2: Convert to fraction form
   6,837/10,449 = 10,449/x
3. Step 3: Cross multiply
   6,837x = 10,449 × 10,449
4. Step 4: Simplify right side
   6,837x = 109,181,601
5. Step 5: Solve for x
   x = 109,181,601/6,837
6. Step 6: Final answer
   x = 15,969.23