Finding the Third Proportional to 17,684 and 25,570

Step by Step Solution

1. Step 1: Write the proportion equation
   17,684 : 25,570 = 25,570 : x
2. Step 2: Convert to fraction form
   17,684/25,570 = 25,570/x
3. Step 3: Cross multiply
   17,684x = 25,570 × 25,570
4. Step 4: Simplify right side
   17,684x = 653,824,900
5. Step 5: Solve for x
   x = 653,824,900/17,684
6. Step 6: Final answer
   x = 36,972.68