Finding the Third Proportional to 2,544.33 and 5,523.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544.33 : 5,523.77 = 5,523.77 : x
2. Step 2: Convert to fraction form
   2,544.33/5,523.77 = 5,523.77/x
3. Step 3: Cross multiply
   2,544.33x = 5,523.77 × 5,523.77
4. Step 4: Simplify right side
   2,544.33x = 30,512,008.26
5. Step 5: Solve for x
   x = 30,512,008.26/2,544.33
6. Step 6: Final answer
   x = 11,992.17