Finding the Third Proportional to 6,384 and 13,740

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 13,740 = 13,740 : x
2. Step 2: Convert to fraction form
   6,384/13,740 = 13,740/x
3. Step 3: Cross multiply
   6,384x = 13,740 × 13,740
4. Step 4: Simplify right side
   6,384x = 188,787,600
5. Step 5: Solve for x
   x = 188,787,600/6,384
6. Step 6: Final answer
   x = 29,571.99