Finding the Third Proportional to 9,536 and 15,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 15,648 = 15,648 : x
2. Step 2: Convert to fraction form
   9,536/15,648 = 15,648/x
3. Step 3: Cross multiply
   9,536x = 15,648 × 15,648
4. Step 4: Simplify right side
   9,536x = 244,859,904
5. Step 5: Solve for x
   x = 244,859,904/9,536
6. Step 6: Final answer
   x = 25,677.42