Finding the Third Proportional to 6,586 and 10,530

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586 : 10,530 = 10,530 : x
2. Step 2: Convert to fraction form
   6,586/10,530 = 10,530/x
3. Step 3: Cross multiply
   6,586x = 10,530 × 10,530
4. Step 4: Simplify right side
   6,586x = 110,880,900
5. Step 5: Solve for x
   x = 110,880,900/6,586
6. Step 6: Final answer
   x = 16,835.85