Finding the Third Proportional to 2,013.75 and 3,546.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.75 : 3,546.56 = 3,546.56 : x
2. Step 2: Convert to fraction form
   2,013.75/3,546.56 = 3,546.56/x
3. Step 3: Cross multiply
   2,013.75x = 3,546.56 × 3,546.56
4. Step 4: Simplify right side
   2,013.75x = 12,578,105.57
5. Step 5: Solve for x
   x = 12,578,105.57/2,013.75
6. Step 6: Final answer
   x = 6,246.11