Finding the Third Proportional to 2,617 and 5,760

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617 : 5,760 = 5,760 : x
2. Step 2: Convert to fraction form
   2,617/5,760 = 5,760/x
3. Step 3: Cross multiply
   2,617x = 5,760 × 5,760
4. Step 4: Simplify right side
   2,617x = 33,177,600
5. Step 5: Solve for x
   x = 33,177,600/2,617
6. Step 6: Final answer
   x = 12,677.72