Finding the Third Proportional to 2,742.56 and 3,919.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.56 : 3,919.13 = 3,919.13 : x
2. Step 2: Convert to fraction form
   2,742.56/3,919.13 = 3,919.13/x
3. Step 3: Cross multiply
   2,742.56x = 3,919.13 × 3,919.13
4. Step 4: Simplify right side
   2,742.56x = 15,359,540.77
5. Step 5: Solve for x
   x = 15,359,540.77/2,742.56
6. Step 6: Final answer
   x = 5,600.43