Finding the Third Proportional to 11,504 and 17,200

Step by Step Solution

1. Step 1: Write the proportion equation
   11,504 : 17,200 = 17,200 : x
2. Step 2: Convert to fraction form
   11,504/17,200 = 17,200/x
3. Step 3: Cross multiply
   11,504x = 17,200 × 17,200
4. Step 4: Simplify right side
   11,504x = 295,840,000
5. Step 5: Solve for x
   x = 295,840,000/11,504
6. Step 6: Final answer
   x = 25,716.27