Finding the Third Proportional to 10,226.25 and 15,636.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.25 : 15,636.38 = 15,636.38 : x
2. Step 2: Convert to fraction form
   10,226.25/15,636.38 = 15,636.38/x
3. Step 3: Cross multiply
   10,226.25x = 15,636.38 × 15,636.38
4. Step 4: Simplify right side
   10,226.25x = 244,496,223.14
5. Step 5: Solve for x
   x = 244,496,223.14/10,226.25
6. Step 6: Final answer
   x = 23,908.69