Finding the Third Proportional to 2,569.75 and 5,503

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.75 : 5,503 = 5,503 : x
2. Step 2: Convert to fraction form
   2,569.75/5,503 = 5,503/x
3. Step 3: Cross multiply
   2,569.75x = 5,503 × 5,503
4. Step 4: Simplify right side
   2,569.75x = 30,283,009
5. Step 5: Solve for x
   x = 30,283,009/2,569.75
6. Step 6: Final answer
   x = 11,784.42