Finding the Third Proportional to 9,585 and 13,419

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 13,419 = 13,419 : x
2. Step 2: Convert to fraction form
   9,585/13,419 = 13,419/x
3. Step 3: Cross multiply
   9,585x = 13,419 × 13,419
4. Step 4: Simplify right side
   9,585x = 180,069,561
5. Step 5: Solve for x
   x = 180,069,561/9,585
6. Step 6: Final answer
   x = 18,786.60