Finding the Third Proportional to 2,461.83 and 3,694.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.83 : 3,694.55 = 3,694.55 : x
2. Step 2: Convert to fraction form
   2,461.83/3,694.55 = 3,694.55/x
3. Step 3: Cross multiply
   2,461.83x = 3,694.55 × 3,694.55
4. Step 4: Simplify right side
   2,461.83x = 13,649,676.61
5. Step 5: Solve for x
   x = 13,649,676.61/2,461.83
6. Step 6: Final answer
   x = 5,544.53