Finding the Third Proportional to 2,756.53 and 5,746.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756.53 : 5,746.57 = 5,746.57 : x
2. Step 2: Convert to fraction form
   2,756.53/5,746.57 = 5,746.57/x
3. Step 3: Cross multiply
   2,756.53x = 5,746.57 × 5,746.57
4. Step 4: Simplify right side
   2,756.53x = 33,023,070.36
5. Step 5: Solve for x
   x = 33,023,070.36/2,756.53
6. Step 6: Final answer
   x = 11,979.94