Finding the Third Proportional to 2,405 and 5,288

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405 : 5,288 = 5,288 : x
2. Step 2: Convert to fraction form
   2,405/5,288 = 5,288/x
3. Step 3: Cross multiply
   2,405x = 5,288 × 5,288
4. Step 4: Simplify right side
   2,405x = 27,962,944
5. Step 5: Solve for x
   x = 27,962,944/2,405
6. Step 6: Final answer
   x = 11,627.00