Finding the Third Proportional to 9,768 and 21,022

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 21,022 = 21,022 : x
2. Step 2: Convert to fraction form
   9,768/21,022 = 21,022/x
3. Step 3: Cross multiply
   9,768x = 21,022 × 21,022
4. Step 4: Simplify right side
   9,768x = 441,924,484
5. Step 5: Solve for x
   x = 441,924,484/9,768
6. Step 6: Final answer
   x = 45,242.06