Finding the Third Proportional to 10,021 and 21,563

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021 : 21,563 = 21,563 : x
2. Step 2: Convert to fraction form
   10,021/21,563 = 21,563/x
3. Step 3: Cross multiply
   10,021x = 21,563 × 21,563
4. Step 4: Simplify right side
   10,021x = 464,962,969
5. Step 5: Solve for x
   x = 464,962,969/10,021
6. Step 6: Final answer
   x = 46,398.86