Finding the Third Proportional to 2,424 and 5,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424 : 5,136.50 = 5,136.50 : x
2. Step 2: Convert to fraction form
   2,424/5,136.50 = 5,136.50/x
3. Step 3: Cross multiply
   2,424x = 5,136.50 × 5,136.50
4. Step 4: Simplify right side
   2,424x = 26,383,632.25
5. Step 5: Solve for x
   x = 26,383,632.25/2,424
6. Step 6: Final answer
   x = 10,884.34