Finding the Third Proportional to 2,469.23 and 5,358.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.23 : 5,358.02 = 5,358.02 : x
2. Step 2: Convert to fraction form
   2,469.23/5,358.02 = 5,358.02/x
3. Step 3: Cross multiply
   2,469.23x = 5,358.02 × 5,358.02
4. Step 4: Simplify right side
   2,469.23x = 28,708,415.16
5. Step 5: Solve for x
   x = 28,708,415.16/2,469.23
6. Step 6: Final answer
   x = 11,626.44