Finding the Third Proportional to 6,586 and 10,422

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586 : 10,422 = 10,422 : x
2. Step 2: Convert to fraction form
   6,586/10,422 = 10,422/x
3. Step 3: Cross multiply
   6,586x = 10,422 × 10,422
4. Step 4: Simplify right side
   6,586x = 108,618,084
5. Step 5: Solve for x
   x = 108,618,084/6,586
6. Step 6: Final answer
   x = 16,492.27