Finding the Third Proportional to 7,224.19 and 10,309.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,224.19 : 10,309.78 = 10,309.78 : x
2. Step 2: Convert to fraction form
   7,224.19/10,309.78 = 10,309.78/x
3. Step 3: Cross multiply
   7,224.19x = 10,309.78 × 10,309.78
4. Step 4: Simplify right side
   7,224.19x = 106,291,589.42
5. Step 5: Solve for x
   x = 106,291,589.42/7,224.19
6. Step 6: Final answer
   x = 14,713.29