Finding the Third Proportional to 9,648 and 13,752

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 13,752 = 13,752 : x
2. Step 2: Convert to fraction form
   9,648/13,752 = 13,752/x
3. Step 3: Cross multiply
   9,648x = 13,752 × 13,752
4. Step 4: Simplify right side
   9,648x = 189,117,504
5. Step 5: Solve for x
   x = 189,117,504/9,648
6. Step 6: Final answer
   x = 19,601.73