Finding the Third Proportional to 11,596 and 17,150

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 17,150 = 17,150 : x
2. Step 2: Convert to fraction form
   11,596/17,150 = 17,150/x
3. Step 3: Cross multiply
   11,596x = 17,150 × 17,150
4. Step 4: Simplify right side
   11,596x = 294,122,500
5. Step 5: Solve for x
   x = 294,122,500/11,596
6. Step 6: Final answer
   x = 25,364.13