Finding the Third Proportional to 2,540.11 and 3,741.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.11 : 3,741.82 = 3,741.82 : x
2. Step 2: Convert to fraction form
   2,540.11/3,741.82 = 3,741.82/x
3. Step 3: Cross multiply
   2,540.11x = 3,741.82 × 3,741.82
4. Step 4: Simplify right side
   2,540.11x = 14,001,219.25
5. Step 5: Solve for x
   x = 14,001,219.25/2,540.11
6. Step 6: Final answer
   x = 5,512.05