Finding the Third Proportional to 9,821 and 21,496

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821 : 21,496 = 21,496 : x
2. Step 2: Convert to fraction form
   9,821/21,496 = 21,496/x
3. Step 3: Cross multiply
   9,821x = 21,496 × 21,496
4. Step 4: Simplify right side
   9,821x = 462,078,016
5. Step 5: Solve for x
   x = 462,078,016/9,821
6. Step 6: Final answer
   x = 47,050.00