Finding the Third Proportional to 9,585 and 10,827

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 10,827 = 10,827 : x
2. Step 2: Convert to fraction form
   9,585/10,827 = 10,827/x
3. Step 3: Cross multiply
   9,585x = 10,827 × 10,827
4. Step 4: Simplify right side
   9,585x = 117,223,929
5. Step 5: Solve for x
   x = 117,223,929/9,585
6. Step 6: Final answer
   x = 12,229.94