Finding the Third Proportional to 3,039.50 and 4,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,039.50 : 4,640.50 = 4,640.50 : x
2. Step 2: Convert to fraction form
   3,039.50/4,640.50 = 4,640.50/x
3. Step 3: Cross multiply
   3,039.50x = 4,640.50 × 4,640.50
4. Step 4: Simplify right side
   3,039.50x = 21,534,240.25
5. Step 5: Solve for x
   x = 21,534,240.25/3,039.50
6. Step 6: Final answer
   x = 7,084.80