Finding the Third Proportional to 6,238 and 8,404

Step by Step Solution

1. Step 1: Write the proportion equation
   6,238 : 8,404 = 8,404 : x
2. Step 2: Convert to fraction form
   6,238/8,404 = 8,404/x
3. Step 3: Cross multiply
   6,238x = 8,404 × 8,404
4. Step 4: Simplify right side
   6,238x = 70,627,216
5. Step 5: Solve for x
   x = 70,627,216/6,238
6. Step 6: Final answer
   x = 11,322.09