Finding the Third Proportional to 2,494.13 and 3,546.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.13 : 3,546.56 = 3,546.56 : x
2. Step 2: Convert to fraction form
   2,494.13/3,546.56 = 3,546.56/x
3. Step 3: Cross multiply
   2,494.13x = 3,546.56 × 3,546.56
4. Step 4: Simplify right side
   2,494.13x = 12,578,105.57
5. Step 5: Solve for x
   x = 12,578,105.57/2,494.13
6. Step 6: Final answer
   x = 5,043.09