Finding the Third Proportional to 10,384 and 12,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 12,000 = 12,000 : x
2. Step 2: Convert to fraction form
   10,384/12,000 = 12,000/x
3. Step 3: Cross multiply
   10,384x = 12,000 × 12,000
4. Step 4: Simplify right side
   10,384x = 144,000,000
5. Step 5: Solve for x
   x = 144,000,000/10,384
6. Step 6: Final answer
   x = 13,867.49