Finding the Third Proportional to 13,866 and 21,499

Step by Step Solution

1. Step 1: Write the proportion equation
   13,866 : 21,499 = 21,499 : x
2. Step 2: Convert to fraction form
   13,866/21,499 = 21,499/x
3. Step 3: Cross multiply
   13,866x = 21,499 × 21,499
4. Step 4: Simplify right side
   13,866x = 462,207,001
5. Step 5: Solve for x
   x = 462,207,001/13,866
6. Step 6: Final answer
   x = 33,333.84