Finding the Third Proportional to 9,628 and 15,456

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 15,456 = 15,456 : x
2. Step 2: Convert to fraction form
   9,628/15,456 = 15,456/x
3. Step 3: Cross multiply
   9,628x = 15,456 × 15,456
4. Step 4: Simplify right side
   9,628x = 238,887,936
5. Step 5: Solve for x
   x = 238,887,936/9,628
6. Step 6: Final answer
   x = 24,811.79