Finding the Third Proportional to 16,566 and 25,857

Step by Step Solution

1. Step 1: Write the proportion equation
   16,566 : 25,857 = 25,857 : x
2. Step 2: Convert to fraction form
   16,566/25,857 = 25,857/x
3. Step 3: Cross multiply
   16,566x = 25,857 × 25,857
4. Step 4: Simplify right side
   16,566x = 668,584,449
5. Step 5: Solve for x
   x = 668,584,449/16,566
6. Step 6: Final answer
   x = 40,358.83