Finding the Third Proportional to 6,809.75 and 10,700.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,809.75 : 10,700.38 = 10,700.38 : x
2. Step 2: Convert to fraction form
   6,809.75/10,700.38 = 10,700.38/x
3. Step 3: Cross multiply
   6,809.75x = 10,700.38 × 10,700.38
4. Step 4: Simplify right side
   6,809.75x = 114,498,025.14
5. Step 5: Solve for x
   x = 114,498,025.14/6,809.75
6. Step 6: Final answer
   x = 16,813.84