Finding the Third Proportional to 11,340 and 14,760

Step by Step Solution

1. Step 1: Write the proportion equation
   11,340 : 14,760 = 14,760 : x
2. Step 2: Convert to fraction form
   11,340/14,760 = 14,760/x
3. Step 3: Cross multiply
   11,340x = 14,760 × 14,760
4. Step 4: Simplify right side
   11,340x = 217,857,600
5. Step 5: Solve for x
   x = 217,857,600/11,340
6. Step 6: Final answer
   x = 19,211.43