Finding the Third Proportional to 6,837 and 10,557

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837 : 10,557 = 10,557 : x
2. Step 2: Convert to fraction form
   6,837/10,557 = 10,557/x
3. Step 3: Cross multiply
   6,837x = 10,557 × 10,557
4. Step 4: Simplify right side
   6,837x = 111,450,249
5. Step 5: Solve for x
   x = 111,450,249/6,837
6. Step 6: Final answer
   x = 16,301.05