Finding the Third Proportional to 2,242.13 and 5,311.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,242.13 : 5,311.69 = 5,311.69 : x
2. Step 2: Convert to fraction form
   2,242.13/5,311.69 = 5,311.69/x
3. Step 3: Cross multiply
   2,242.13x = 5,311.69 × 5,311.69
4. Step 4: Simplify right side
   2,242.13x = 28,214,024.10
5. Step 5: Solve for x
   x = 28,214,024.10/2,242.13
6. Step 6: Final answer
   x = 12,583.61