Finding the Third Proportional to 2,427.19 and 5,200.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.19 : 5,200.03 = 5,200.03 : x
2. Step 2: Convert to fraction form
   2,427.19/5,200.03 = 5,200.03/x
3. Step 3: Cross multiply
   2,427.19x = 5,200.03 × 5,200.03
4. Step 4: Simplify right side
   2,427.19x = 27,040,325.00
5. Step 5: Solve for x
   x = 27,040,325.00/2,427.19
6. Step 6: Final answer
   x = 11,140.60