Finding the Third Proportional to 7,674.61 and 11,464.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674.61 : 11,464.52 = 11,464.52 : x
2. Step 2: Convert to fraction form
   7,674.61/11,464.52 = 11,464.52/x
3. Step 3: Cross multiply
   7,674.61x = 11,464.52 × 11,464.52
4. Step 4: Simplify right side
   7,674.61x = 131,435,297.65
5. Step 5: Solve for x
   x = 131,435,297.65/7,674.61
6. Step 6: Final answer
   x = 17,125.99