Finding the Third Proportional to 3,635 and 8,499

Step by Step Solution

1. Step 1: Write the proportion equation
   3,635 : 8,499 = 8,499 : x
2. Step 2: Convert to fraction form
   3,635/8,499 = 8,499/x
3. Step 3: Cross multiply
   3,635x = 8,499 × 8,499
4. Step 4: Simplify right side
   3,635x = 72,233,001
5. Step 5: Solve for x
   x = 72,233,001/3,635
6. Step 6: Final answer
   x = 19,871.53