Finding the Third Proportional to 3,414.94 and 7,489.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414.94 : 7,489.69 = 7,489.69 : x
2. Step 2: Convert to fraction form
   3,414.94/7,489.69 = 7,489.69/x
3. Step 3: Cross multiply
   3,414.94x = 7,489.69 × 7,489.69
4. Step 4: Simplify right side
   3,414.94x = 56,095,418.85
5. Step 5: Solve for x
   x = 56,095,418.85/3,414.94
6. Step 6: Final answer
   x = 16,426.48