Finding the Third Proportional to 6,751.69 and 7,966.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,751.69 : 7,966.69 = 7,966.69 : x
2. Step 2: Convert to fraction form
   6,751.69/7,966.69 = 7,966.69/x
3. Step 3: Cross multiply
   6,751.69x = 7,966.69 × 7,966.69
4. Step 4: Simplify right side
   6,751.69x = 63,468,109.72
5. Step 5: Solve for x
   x = 63,468,109.72/6,751.69
6. Step 6: Final answer
   x = 9,400.33