Finding the Third Proportional to 2,400 and 5,064

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 5,064 = 5,064 : x
2. Step 2: Convert to fraction form
   2,400/5,064 = 5,064/x
3. Step 3: Cross multiply
   2,400x = 5,064 × 5,064
4. Step 4: Simplify right side
   2,400x = 25,644,096
5. Step 5: Solve for x
   x = 25,644,096/2,400
6. Step 6: Final answer
   x = 10,685.04