Finding the Third Proportional to 13,874 and 21,563

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874 : 21,563 = 21,563 : x
2. Step 2: Convert to fraction form
   13,874/21,563 = 21,563/x
3. Step 3: Cross multiply
   13,874x = 21,563 × 21,563
4. Step 4: Simplify right side
   13,874x = 464,962,969
5. Step 5: Solve for x
   x = 464,962,969/13,874
6. Step 6: Final answer
   x = 33,513.26