Finding the Third Proportional to 2,241.56 and 5,209.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,241.56 : 5,209.03 = 5,209.03 : x
2. Step 2: Convert to fraction form
   2,241.56/5,209.03 = 5,209.03/x
3. Step 3: Cross multiply
   2,241.56x = 5,209.03 × 5,209.03
4. Step 4: Simplify right side
   2,241.56x = 27,134,006.56
5. Step 5: Solve for x
   x = 27,134,006.56/2,241.56
6. Step 6: Final answer
   x = 12,104.95