Finding the Third Proportional to 5,105.25 and 7,562.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.25 : 7,562.25 = 7,562.25 : x
2. Step 2: Convert to fraction form
   5,105.25/7,562.25 = 7,562.25/x
3. Step 3: Cross multiply
   5,105.25x = 7,562.25 × 7,562.25
4. Step 4: Simplify right side
   5,105.25x = 57,187,625.06
5. Step 5: Solve for x
   x = 57,187,625.06/5,105.25
6. Step 6: Final answer
   x = 11,201.73