Finding the Third Proportional to 3,007.69 and 4,804.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,007.69 : 4,804.31 = 4,804.31 : x
2. Step 2: Convert to fraction form
   3,007.69/4,804.31 = 4,804.31/x
3. Step 3: Cross multiply
   3,007.69x = 4,804.31 × 4,804.31
4. Step 4: Simplify right side
   3,007.69x = 23,081,418.60
5. Step 5: Solve for x
   x = 23,081,418.60/3,007.69
6. Step 6: Final answer
   x = 7,674.14