Finding the Third Proportional to 2,378.43 and 3,380.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378.43 : 3,380.59 = 3,380.59 : x
2. Step 2: Convert to fraction form
   2,378.43/3,380.59 = 3,380.59/x
3. Step 3: Cross multiply
   2,378.43x = 3,380.59 × 3,380.59
4. Step 4: Simplify right side
   2,378.43x = 11,428,387.69
5. Step 5: Solve for x
   x = 11,428,387.69/2,378.43
6. Step 6: Final answer
   x = 4,805.02