Finding the Third Proportional to 6,850 and 10,392

Step by Step Solution

1. Step 1: Write the proportion equation
   6,850 : 10,392 = 10,392 : x
2. Step 2: Convert to fraction form
   6,850/10,392 = 10,392/x
3. Step 3: Cross multiply
   6,850x = 10,392 × 10,392
4. Step 4: Simplify right side
   6,850x = 107,993,664
5. Step 5: Solve for x
   x = 107,993,664/6,850
6. Step 6: Final answer
   x = 15,765.50