Finding the Third Proportional to 5,105.25 and 7,455.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.25 : 7,455.25 = 7,455.25 : x
2. Step 2: Convert to fraction form
   5,105.25/7,455.25 = 7,455.25/x
3. Step 3: Cross multiply
   5,105.25x = 7,455.25 × 7,455.25
4. Step 4: Simplify right side
   5,105.25x = 55,580,752.56
5. Step 5: Solve for x
   x = 55,580,752.56/5,105.25
6. Step 6: Final answer
   x = 10,886.98