Finding the Third Proportional to 10,208.25 and 15,906.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,208.25 : 15,906.38 = 15,906.38 : x
2. Step 2: Convert to fraction form
   10,208.25/15,906.38 = 15,906.38/x
3. Step 3: Cross multiply
   10,208.25x = 15,906.38 × 15,906.38
4. Step 4: Simplify right side
   10,208.25x = 253,012,765.64
5. Step 5: Solve for x
   x = 253,012,765.64/10,208.25
6. Step 6: Final answer
   x = 24,785.13