Finding the Third Proportional to 2,400 and 5,260

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 5,260 = 5,260 : x
2. Step 2: Convert to fraction form
   2,400/5,260 = 5,260/x
3. Step 3: Cross multiply
   2,400x = 5,260 × 5,260
4. Step 4: Simplify right side
   2,400x = 27,667,600
5. Step 5: Solve for x
   x = 27,667,600/2,400
6. Step 6: Final answer
   x = 11,528.17