Finding the Third Proportional to 16,519 and 23,549

Step by Step Solution

1. Step 1: Write the proportion equation
   16,519 : 23,549 = 23,549 : x
2. Step 2: Convert to fraction form
   16,519/23,549 = 23,549/x
3. Step 3: Cross multiply
   16,519x = 23,549 × 23,549
4. Step 4: Simplify right side
   16,519x = 554,555,401
5. Step 5: Solve for x
   x = 554,555,401/16,519
6. Step 6: Final answer
   x = 33,570.76