Finding the Third Proportional to 6,806.25 and 10,695.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.25 : 10,695.38 = 10,695.38 : x
2. Step 2: Convert to fraction form
   6,806.25/10,695.38 = 10,695.38/x
3. Step 3: Cross multiply
   6,806.25x = 10,695.38 × 10,695.38
4. Step 4: Simplify right side
   6,806.25x = 114,391,046.39
5. Step 5: Solve for x
   x = 114,391,046.39/6,806.25
6. Step 6: Final answer
   x = 16,806.77