Finding the Third Proportional to 6,384 and 10,848

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 10,848 = 10,848 : x
2. Step 2: Convert to fraction form
   6,384/10,848 = 10,848/x
3. Step 3: Cross multiply
   6,384x = 10,848 × 10,848
4. Step 4: Simplify right side
   6,384x = 117,679,104
5. Step 5: Solve for x
   x = 117,679,104/6,384
6. Step 6: Final answer
   x = 18,433.44