Finding the Third Proportional to 2,139.50 and 4,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,139.50 : 4,004.50 = 4,004.50 : x
2. Step 2: Convert to fraction form
   2,139.50/4,004.50 = 4,004.50/x
3. Step 3: Cross multiply
   2,139.50x = 4,004.50 × 4,004.50
4. Step 4: Simplify right side
   2,139.50x = 16,036,020.25
5. Step 5: Solve for x
   x = 16,036,020.25/2,139.50
6. Step 6: Final answer
   x = 7,495.22