Finding the Third Proportional to 9,458 and 16,864

Step by Step Solution

1. Step 1: Write the proportion equation
   9,458 : 16,864 = 16,864 : x
2. Step 2: Convert to fraction form
   9,458/16,864 = 16,864/x
3. Step 3: Cross multiply
   9,458x = 16,864 × 16,864
4. Step 4: Simplify right side
   9,458x = 284,394,496
5. Step 5: Solve for x
   x = 284,394,496/9,458
6. Step 6: Final answer
   x = 30,069.20