Finding the Third Proportional to 2,418.38 and 5,679.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,418.38 : 5,679.75 = 5,679.75 : x
2. Step 2: Convert to fraction form
   2,418.38/5,679.75 = 5,679.75/x
3. Step 3: Cross multiply
   2,418.38x = 5,679.75 × 5,679.75
4. Step 4: Simplify right side
   2,418.38x = 32,259,560.06
5. Step 5: Solve for x
   x = 32,259,560.06/2,418.38
6. Step 6: Final answer
   x = 13,339.35