Finding the Third Proportional to 6,846 and 10,723

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 10,723 = 10,723 : x
2. Step 2: Convert to fraction form
   6,846/10,723 = 10,723/x
3. Step 3: Cross multiply
   6,846x = 10,723 × 10,723
4. Step 4: Simplify right side
   6,846x = 114,982,729
5. Step 5: Solve for x
   x = 114,982,729/6,846
6. Step 6: Final answer
   x = 16,795.61