Finding the Third Proportional to 9,585 and 10,314

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 10,314 = 10,314 : x
2. Step 2: Convert to fraction form
   9,585/10,314 = 10,314/x
3. Step 3: Cross multiply
   9,585x = 10,314 × 10,314
4. Step 4: Simplify right side
   9,585x = 106,378,596
5. Step 5: Solve for x
   x = 106,378,596/9,585
6. Step 6: Final answer
   x = 11,098.45