Finding the Third Proportional to 6,291 and 13,838

Step by Step Solution

1. Step 1: Write the proportion equation
   6,291 : 13,838 = 13,838 : x
2. Step 2: Convert to fraction form
   6,291/13,838 = 13,838/x
3. Step 3: Cross multiply
   6,291x = 13,838 × 13,838
4. Step 4: Simplify right side
   6,291x = 191,490,244
5. Step 5: Solve for x
   x = 191,490,244/6,291
6. Step 6: Final answer
   x = 30,438.76