Finding the Third Proportional to 7,804.69 and 9,262.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,804.69 : 9,262.69 = 9,262.69 : x
2. Step 2: Convert to fraction form
   7,804.69/9,262.69 = 9,262.69/x
3. Step 3: Cross multiply
   7,804.69x = 9,262.69 × 9,262.69
4. Step 4: Simplify right side
   7,804.69x = 85,797,379.72
5. Step 5: Solve for x
   x = 85,797,379.72/7,804.69
6. Step 6: Final answer
   x = 10,993.06