Finding the Third Proportional to 8,386.50 and 9,480

Step by Step Solution

1. Step 1: Write the proportion equation
   8,386.50 : 9,480 = 9,480 : x
2. Step 2: Convert to fraction form
   8,386.50/9,480 = 9,480/x
3. Step 3: Cross multiply
   8,386.50x = 9,480 × 9,480
4. Step 4: Simplify right side
   8,386.50x = 89,870,400
5. Step 5: Solve for x
   x = 89,870,400/8,386.50
6. Step 6: Final answer
   x = 10,716.08