Finding the Third Proportional to 9,794 and 20,413

Step by Step Solution

1. Step 1: Write the proportion equation
   9,794 : 20,413 = 20,413 : x
2. Step 2: Convert to fraction form
   9,794/20,413 = 20,413/x
3. Step 3: Cross multiply
   9,794x = 20,413 × 20,413
4. Step 4: Simplify right side
   9,794x = 416,690,569
5. Step 5: Solve for x
   x = 416,690,569/9,794
6. Step 6: Final answer
   x = 42,545.49