Finding the Third Proportional to 5,107.50 and 7,227.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,107.50 : 7,227.56 = 7,227.56 : x
2. Step 2: Convert to fraction form
   5,107.50/7,227.56 = 7,227.56/x
3. Step 3: Cross multiply
   5,107.50x = 7,227.56 × 7,227.56
4. Step 4: Simplify right side
   5,107.50x = 52,237,659.69
5. Step 5: Solve for x
   x = 52,237,659.69/5,107.50
6. Step 6: Final answer
   x = 10,227.64