Finding the Third Proportional to 13,826 and 17,499

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 17,499 = 17,499 : x
2. Step 2: Convert to fraction form
   13,826/17,499 = 17,499/x
3. Step 3: Cross multiply
   13,826x = 17,499 × 17,499
4. Step 4: Simplify right side
   13,826x = 306,215,001
5. Step 5: Solve for x
   x = 306,215,001/13,826
6. Step 6: Final answer
   x = 22,147.77