Finding the Third Proportional to 2,424.50 and 5,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.50 : 5,370.50 = 5,370.50 : x
2. Step 2: Convert to fraction form
   2,424.50/5,370.50 = 5,370.50/x
3. Step 3: Cross multiply
   2,424.50x = 5,370.50 × 5,370.50
4. Step 4: Simplify right side
   2,424.50x = 28,842,270.25
5. Step 5: Solve for x
   x = 28,842,270.25/2,424.50
6. Step 6: Final answer
   x = 11,896.17