Finding the Third Proportional to 6,913.69 and 7,804.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,913.69 : 7,804.69 = 7,804.69 : x
2. Step 2: Convert to fraction form
   6,913.69/7,804.69 = 7,804.69/x
3. Step 3: Cross multiply
   6,913.69x = 7,804.69 × 7,804.69
4. Step 4: Simplify right side
   6,913.69x = 60,913,146.97
5. Step 5: Solve for x
   x = 60,913,146.97/6,913.69
6. Step 6: Final answer
   x = 8,810.51