Finding the Third Proportional to 2,400 and 5,632

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 5,632 = 5,632 : x
2. Step 2: Convert to fraction form
   2,400/5,632 = 5,632/x
3. Step 3: Cross multiply
   2,400x = 5,632 × 5,632
4. Step 4: Simplify right side
   2,400x = 31,719,424
5. Step 5: Solve for x
   x = 31,719,424/2,400
6. Step 6: Final answer
   x = 13,216.43