Finding the Third Proportional to 7,584 and 10,440

Step by Step Solution

1. Step 1: Write the proportion equation
   7,584 : 10,440 = 10,440 : x
2. Step 2: Convert to fraction form
   7,584/10,440 = 10,440/x
3. Step 3: Cross multiply
   7,584x = 10,440 × 10,440
4. Step 4: Simplify right side
   7,584x = 108,993,600
5. Step 5: Solve for x
   x = 108,993,600/7,584
6. Step 6: Final answer
   x = 14,371.52