Finding the Third Proportional to 6,821 and 10,293

Step by Step Solution

1. Step 1: Write the proportion equation
   6,821 : 10,293 = 10,293 : x
2. Step 2: Convert to fraction form
   6,821/10,293 = 10,293/x
3. Step 3: Cross multiply
   6,821x = 10,293 × 10,293
4. Step 4: Simplify right side
   6,821x = 105,945,849
5. Step 5: Solve for x
   x = 105,945,849/6,821
6. Step 6: Final answer
   x = 15,532.30