Finding the Third Proportional to 17,809 and 25,666

Step by Step Solution

1. Step 1: Write the proportion equation
   17,809 : 25,666 = 25,666 : x
2. Step 2: Convert to fraction form
   17,809/25,666 = 25,666/x
3. Step 3: Cross multiply
   17,809x = 25,666 × 25,666
4. Step 4: Simplify right side
   17,809x = 658,743,556
5. Step 5: Solve for x
   x = 658,743,556/17,809
6. Step 6: Final answer
   x = 36,989.36