Finding the Third Proportional to 6,846 and 10,320

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 10,320 = 10,320 : x
2. Step 2: Convert to fraction form
   6,846/10,320 = 10,320/x
3. Step 3: Cross multiply
   6,846x = 10,320 × 10,320
4. Step 4: Simplify right side
   6,846x = 106,502,400
5. Step 5: Solve for x
   x = 106,502,400/6,846
6. Step 6: Final answer
   x = 15,556.88