Finding the Third Proportional to 2,755.13 and 5,697.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,755.13 : 5,697.56 = 5,697.56 : x
2. Step 2: Convert to fraction form
   2,755.13/5,697.56 = 5,697.56/x
3. Step 3: Cross multiply
   2,755.13x = 5,697.56 × 5,697.56
4. Step 4: Simplify right side
   2,755.13x = 32,462,218.44
5. Step 5: Solve for x
   x = 32,462,218.44/2,755.13
6. Step 6: Final answer
   x = 11,782.48