Finding the Third Proportional to 2,782.69 and 5,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.69 : 5,742.56 = 5,742.56 : x
2. Step 2: Convert to fraction form
   2,782.69/5,742.56 = 5,742.56/x
3. Step 3: Cross multiply
   2,782.69x = 5,742.56 × 5,742.56
4. Step 4: Simplify right side
   2,782.69x = 32,977,024.07
5. Step 5: Solve for x
   x = 32,977,024.07/2,782.69
6. Step 6: Final answer
   x = 11,850.78