Finding the Third Proportional to 1,269.28 and 3,151.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.28 : 3,151.69 = 3,151.69 : x
2. Step 2: Convert to fraction form
   1,269.28/3,151.69 = 3,151.69/x
3. Step 3: Cross multiply
   1,269.28x = 3,151.69 × 3,151.69
4. Step 4: Simplify right side
   1,269.28x = 9,933,134.10
5. Step 5: Solve for x
   x = 9,933,134.10/1,269.28
6. Step 6: Final answer
   x = 7,825.79