Finding the Third Proportional to 6,778.69 and 10,783.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778.69 : 10,783.69 = 10,783.69 : x
2. Step 2: Convert to fraction form
   6,778.69/10,783.69 = 10,783.69/x
3. Step 3: Cross multiply
   6,778.69x = 10,783.69 × 10,783.69
4. Step 4: Simplify right side
   6,778.69x = 116,287,916.10
5. Step 5: Solve for x
   x = 116,287,916.10/6,778.69
6. Step 6: Final answer
   x = 17,154.93