Finding the Third Proportional to 11,640 and 15,150

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 15,150 = 15,150 : x
2. Step 2: Convert to fraction form
   11,640/15,150 = 15,150/x
3. Step 3: Cross multiply
   11,640x = 15,150 × 15,150
4. Step 4: Simplify right side
   11,640x = 229,522,500
5. Step 5: Solve for x
   x = 229,522,500/11,640
6. Step 6: Final answer
   x = 19,718.43