Finding the Third Proportional to 8,638 and 15,499

Step by Step Solution

1. Step 1: Write the proportion equation
   8,638 : 15,499 = 15,499 : x
2. Step 2: Convert to fraction form
   8,638/15,499 = 15,499/x
3. Step 3: Cross multiply
   8,638x = 15,499 × 15,499
4. Step 4: Simplify right side
   8,638x = 240,219,001
5. Step 5: Solve for x
   x = 240,219,001/8,638
6. Step 6: Final answer
   x = 27,809.56