Finding the Third Proportional to 4,744.69 and 7,139.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,744.69 : 7,139.81 = 7,139.81 : x
2. Step 2: Convert to fraction form
   4,744.69/7,139.81 = 7,139.81/x
3. Step 3: Cross multiply
   4,744.69x = 7,139.81 × 7,139.81
4. Step 4: Simplify right side
   4,744.69x = 50,976,922.54
5. Step 5: Solve for x
   x = 50,976,922.54/4,744.69
6. Step 6: Final answer
   x = 10,744.00