Finding the Third Proportional to 6,344 and 13,858

Step by Step Solution

1. Step 1: Write the proportion equation
   6,344 : 13,858 = 13,858 : x
2. Step 2: Convert to fraction form
   6,344/13,858 = 13,858/x
3. Step 3: Cross multiply
   6,344x = 13,858 × 13,858
4. Step 4: Simplify right side
   6,344x = 192,044,164
5. Step 5: Solve for x
   x = 192,044,164/6,344
6. Step 6: Final answer
   x = 30,271.78