Finding the Third Proportional to 2,454 and 5,655

Step by Step Solution

1. Step 1: Write the proportion equation
   2,454 : 5,655 = 5,655 : x
2. Step 2: Convert to fraction form
   2,454/5,655 = 5,655/x
3. Step 3: Cross multiply
   2,454x = 5,655 × 5,655
4. Step 4: Simplify right side
   2,454x = 31,979,025
5. Step 5: Solve for x
   x = 31,979,025/2,454
6. Step 6: Final answer
   x = 13,031.39