Finding the Third Proportional to 9,514 and 20,258

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514 : 20,258 = 20,258 : x
2. Step 2: Convert to fraction form
   9,514/20,258 = 20,258/x
3. Step 3: Cross multiply
   9,514x = 20,258 × 20,258
4. Step 4: Simplify right side
   9,514x = 410,386,564
5. Step 5: Solve for x
   x = 410,386,564/9,514
6. Step 6: Final answer
   x = 43,135.02