Finding the Third Proportional to 5,105.25 and 10,248.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.25 : 10,248.75 = 10,248.75 : x
2. Step 2: Convert to fraction form
   5,105.25/10,248.75 = 10,248.75/x
3. Step 3: Cross multiply
   5,105.25x = 10,248.75 × 10,248.75
4. Step 4: Simplify right side
   5,105.25x = 105,036,876.56
5. Step 5: Solve for x
   x = 105,036,876.56/5,105.25
6. Step 6: Final answer
   x = 20,574.29