Finding the Third Proportional to 6,846 and 10,650

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 10,650 = 10,650 : x
2. Step 2: Convert to fraction form
   6,846/10,650 = 10,650/x
3. Step 3: Cross multiply
   6,846x = 10,650 × 10,650
4. Step 4: Simplify right side
   6,846x = 113,422,500
5. Step 5: Solve for x
   x = 113,422,500/6,846
6. Step 6: Final answer
   x = 16,567.70