Finding the Third Proportional to 2,418.99 and 3,738.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,418.99 : 3,738.57 = 3,738.57 : x
2. Step 2: Convert to fraction form
   2,418.99/3,738.57 = 3,738.57/x
3. Step 3: Cross multiply
   2,418.99x = 3,738.57 × 3,738.57
4. Step 4: Simplify right side
   2,418.99x = 13,976,922.13
5. Step 5: Solve for x
   x = 13,976,922.13/2,418.99
6. Step 6: Final answer
   x = 5,777.99