Finding the Third Proportional to 11,596 and 18,150

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 18,150 = 18,150 : x
2. Step 2: Convert to fraction form
   11,596/18,150 = 18,150/x
3. Step 3: Cross multiply
   11,596x = 18,150 × 18,150
4. Step 4: Simplify right side
   11,596x = 329,422,500
5. Step 5: Solve for x
   x = 329,422,500/11,596
6. Step 6: Final answer
   x = 28,408.29