Finding the Third Proportional to 9,680 and 10,580

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 10,580 = 10,580 : x
2. Step 2: Convert to fraction form
   9,680/10,580 = 10,580/x
3. Step 3: Cross multiply
   9,680x = 10,580 × 10,580
4. Step 4: Simplify right side
   9,680x = 111,936,400
5. Step 5: Solve for x
   x = 111,936,400/9,680
6. Step 6: Final answer
   x = 11,563.68