Finding the Third Proportional to 1,604.18 and 2,418.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.18 : 2,418.61 = 2,418.61 : x
2. Step 2: Convert to fraction form
   1,604.18/2,418.61 = 2,418.61/x
3. Step 3: Cross multiply
   1,604.18x = 2,418.61 × 2,418.61
4. Step 4: Simplify right side
   1,604.18x = 5,849,671.31
5. Step 5: Solve for x
   x = 5,849,671.31/1,604.18
6. Step 6: Final answer
   x = 3,646.52