Finding the Third Proportional to 6,338 and 13,849

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 13,849 = 13,849 : x
2. Step 2: Convert to fraction form
   6,338/13,849 = 13,849/x
3. Step 3: Cross multiply
   6,338x = 13,849 × 13,849
4. Step 4: Simplify right side
   6,338x = 191,794,801
5. Step 5: Solve for x
   x = 191,794,801/6,338
6. Step 6: Final answer
   x = 30,261.09