Finding the Third Proportional to 9,802 and 21,784

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802 : 21,784 = 21,784 : x
2. Step 2: Convert to fraction form
   9,802/21,784 = 21,784/x
3. Step 3: Cross multiply
   9,802x = 21,784 × 21,784
4. Step 4: Simplify right side
   9,802x = 474,542,656
5. Step 5: Solve for x
   x = 474,542,656/9,802
6. Step 6: Final answer
   x = 48,412.84