Finding the Third Proportional to 6,786 and 10,401

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786 : 10,401 = 10,401 : x
2. Step 2: Convert to fraction form
   6,786/10,401 = 10,401/x
3. Step 3: Cross multiply
   6,786x = 10,401 × 10,401
4. Step 4: Simplify right side
   6,786x = 108,180,801
5. Step 5: Solve for x
   x = 108,180,801/6,786
6. Step 6: Final answer
   x = 15,941.76