Finding the Third Proportional to 5,281.69 and 7,674.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,281.69 : 7,674.38 = 7,674.38 : x
2. Step 2: Convert to fraction form
   5,281.69/7,674.38 = 7,674.38/x
3. Step 3: Cross multiply
   5,281.69x = 7,674.38 × 7,674.38
4. Step 4: Simplify right side
   5,281.69x = 58,896,031.64
5. Step 5: Solve for x
   x = 58,896,031.64/5,281.69
6. Step 6: Final answer
   x = 11,150.99