Finding the Third Proportional to 6,957 and 10,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,957 : 10,786.50 = 10,786.50 : x
2. Step 2: Convert to fraction form
   6,957/10,786.50 = 10,786.50/x
3. Step 3: Cross multiply
   6,957x = 10,786.50 × 10,786.50
4. Step 4: Simplify right side
   6,957x = 116,348,582.25
5. Step 5: Solve for x
   x = 116,348,582.25/6,957
6. Step 6: Final answer
   x = 16,723.96