Finding the Third Proportional to 6,586 and 10,015

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586 : 10,015 = 10,015 : x
2. Step 2: Convert to fraction form
   6,586/10,015 = 10,015/x
3. Step 3: Cross multiply
   6,586x = 10,015 × 10,015
4. Step 4: Simplify right side
   6,586x = 100,300,225
5. Step 5: Solve for x
   x = 100,300,225/6,586
6. Step 6: Final answer
   x = 15,229.31