Finding the Third Proportional to 16,509 and 25,574

Step by Step Solution

1. Step 1: Write the proportion equation
   16,509 : 25,574 = 25,574 : x
2. Step 2: Convert to fraction form
   16,509/25,574 = 25,574/x
3. Step 3: Cross multiply
   16,509x = 25,574 × 25,574
4. Step 4: Simplify right side
   16,509x = 654,029,476
5. Step 5: Solve for x
   x = 654,029,476/16,509
6. Step 6: Final answer
   x = 39,616.54