Finding the Third Proportional to 2,767.92 and 5,672.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.92 : 5,672.53 = 5,672.53 : x
2. Step 2: Convert to fraction form
   2,767.92/5,672.53 = 5,672.53/x
3. Step 3: Cross multiply
   2,767.92x = 5,672.53 × 5,672.53
4. Step 4: Simplify right side
   2,767.92x = 32,177,610.78
5. Step 5: Solve for x
   x = 32,177,610.78/2,767.92
6. Step 6: Final answer
   x = 11,625.19