Finding the Third Proportional to 8,404 and 19,846

Step by Step Solution

1. Step 1: Write the proportion equation
   8,404 : 19,846 = 19,846 : x
2. Step 2: Convert to fraction form
   8,404/19,846 = 19,846/x
3. Step 3: Cross multiply
   8,404x = 19,846 × 19,846
4. Step 4: Simplify right side
   8,404x = 393,863,716
5. Step 5: Solve for x
   x = 393,863,716/8,404
6. Step 6: Final answer
   x = 46,866.22