Finding the Third Proportional to 2,263.78 and 5,503.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.78 : 5,503.78 = 5,503.78 : x
2. Step 2: Convert to fraction form
   2,263.78/5,503.78 = 5,503.78/x
3. Step 3: Cross multiply
   2,263.78x = 5,503.78 × 5,503.78
4. Step 4: Simplify right side
   2,263.78x = 30,291,608.05
5. Step 5: Solve for x
   x = 30,291,608.05/2,263.78
6. Step 6: Final answer
   x = 13,380.98