Finding the Third Proportional to 2,419.88 and 5,797.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.88 : 5,797.69 = 5,797.69 : x
2. Step 2: Convert to fraction form
   2,419.88/5,797.69 = 5,797.69/x
3. Step 3: Cross multiply
   2,419.88x = 5,797.69 × 5,797.69
4. Step 4: Simplify right side
   2,419.88x = 33,613,180.35
5. Step 5: Solve for x
   x = 33,613,180.35/2,419.88
6. Step 6: Final answer
   x = 13,890.46