Finding the Third Proportional to 13,906 and 21,563

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906 : 21,563 = 21,563 : x
2. Step 2: Convert to fraction form
   13,906/21,563 = 21,563/x
3. Step 3: Cross multiply
   13,906x = 21,563 × 21,563
4. Step 4: Simplify right side
   13,906x = 464,962,969
5. Step 5: Solve for x
   x = 464,962,969/13,906
6. Step 6: Final answer
   x = 33,436.14