Finding the Third Proportional to 7,647 and 13,422

Step by Step Solution

1. Step 1: Write the proportion equation
   7,647 : 13,422 = 13,422 : x
2. Step 2: Convert to fraction form
   7,647/13,422 = 13,422/x
3. Step 3: Cross multiply
   7,647x = 13,422 × 13,422
4. Step 4: Simplify right side
   7,647x = 180,150,084
5. Step 5: Solve for x
   x = 180,150,084/7,647
6. Step 6: Final answer
   x = 23,558.27