Finding the Third Proportional to 6,584 and 10,580

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584 : 10,580 = 10,580 : x
2. Step 2: Convert to fraction form
   6,584/10,580 = 10,580/x
3. Step 3: Cross multiply
   6,584x = 10,580 × 10,580
4. Step 4: Simplify right side
   6,584x = 111,936,400
5. Step 5: Solve for x
   x = 111,936,400/6,584
6. Step 6: Final answer
   x = 17,001.28