Finding the Third Proportional to 2,440 and 5,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,440 : 5,352.50 = 5,352.50 : x
2. Step 2: Convert to fraction form
   2,440/5,352.50 = 5,352.50/x
3. Step 3: Cross multiply
   2,440x = 5,352.50 × 5,352.50
4. Step 4: Simplify right side
   2,440x = 28,649,256.25
5. Step 5: Solve for x
   x = 28,649,256.25/2,440
6. Step 6: Final answer
   x = 11,741.50