Finding the Third Proportional to 6,823 and 10,338

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823 : 10,338 = 10,338 : x
2. Step 2: Convert to fraction form
   6,823/10,338 = 10,338/x
3. Step 3: Cross multiply
   6,823x = 10,338 × 10,338
4. Step 4: Simplify right side
   6,823x = 106,874,244
5. Step 5: Solve for x
   x = 106,874,244/6,823
6. Step 6: Final answer
   x = 15,663.82