Finding the Third Proportional to 7,648 and 13,504

Step by Step Solution

1. Step 1: Write the proportion equation
   7,648 : 13,504 = 13,504 : x
2. Step 2: Convert to fraction form
   7,648/13,504 = 13,504/x
3. Step 3: Cross multiply
   7,648x = 13,504 × 13,504
4. Step 4: Simplify right side
   7,648x = 182,358,016
5. Step 5: Solve for x
   x = 182,358,016/7,648
6. Step 6: Final answer
   x = 23,843.88