Finding the Third Proportional to 1,440 and 3,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,440 : 3,007.50 = 3,007.50 : x
2. Step 2: Convert to fraction form
   1,440/3,007.50 = 3,007.50/x
3. Step 3: Cross multiply
   1,440x = 3,007.50 × 3,007.50
4. Step 4: Simplify right side
   1,440x = 9,045,056.25
5. Step 5: Solve for x
   x = 9,045,056.25/1,440
6. Step 6: Final answer
   x = 6,281.29