Finding the Third Proportional to 6,846 and 10,002

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 10,002 = 10,002 : x
2. Step 2: Convert to fraction form
   6,846/10,002 = 10,002/x
3. Step 3: Cross multiply
   6,846x = 10,002 × 10,002
4. Step 4: Simplify right side
   6,846x = 100,040,004
5. Step 5: Solve for x
   x = 100,040,004/6,846
6. Step 6: Final answer
   x = 14,612.91