Finding the Third Proportional to 8,585 and 17,914

Step by Step Solution

1. Step 1: Write the proportion equation
   8,585 : 17,914 = 17,914 : x
2. Step 2: Convert to fraction form
   8,585/17,914 = 17,914/x
3. Step 3: Cross multiply
   8,585x = 17,914 × 17,914
4. Step 4: Simplify right side
   8,585x = 320,911,396
5. Step 5: Solve for x
   x = 320,911,396/8,585
6. Step 6: Final answer
   x = 37,380.48