Finding the Third Proportional to 5,107.50 and 7,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,107.50 : 7,229.25 = 7,229.25 : x
2. Step 2: Convert to fraction form
   5,107.50/7,229.25 = 7,229.25/x
3. Step 3: Cross multiply
   5,107.50x = 7,229.25 × 7,229.25
4. Step 4: Simplify right side
   5,107.50x = 52,262,055.56
5. Step 5: Solve for x
   x = 52,262,055.56/5,107.50
6. Step 6: Final answer
   x = 10,232.41