Finding the Third Proportional to 6,580 and 10,491

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580 : 10,491 = 10,491 : x
2. Step 2: Convert to fraction form
   6,580/10,491 = 10,491/x
3. Step 3: Cross multiply
   6,580x = 10,491 × 10,491
4. Step 4: Simplify right side
   6,580x = 110,061,081
5. Step 5: Solve for x
   x = 110,061,081/6,580
6. Step 6: Final answer
   x = 16,726.61