Finding the Third Proportional to 6,709.50 and 10,747.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,709.50 : 10,747.69 = 10,747.69 : x
2. Step 2: Convert to fraction form
   6,709.50/10,747.69 = 10,747.69/x
3. Step 3: Cross multiply
   6,709.50x = 10,747.69 × 10,747.69
4. Step 4: Simplify right side
   6,709.50x = 115,512,786.60
5. Step 5: Solve for x
   x = 115,512,786.60/6,709.50
6. Step 6: Final answer
   x = 17,216.30