Finding the Third Proportional to 16,781 and 23,519

Step by Step Solution

1. Step 1: Write the proportion equation
   16,781 : 23,519 = 23,519 : x
2. Step 2: Convert to fraction form
   16,781/23,519 = 23,519/x
3. Step 3: Cross multiply
   16,781x = 23,519 × 23,519
4. Step 4: Simplify right side
   16,781x = 553,143,361
5. Step 5: Solve for x
   x = 553,143,361/16,781
6. Step 6: Final answer
   x = 32,962.48