Finding the Third Proportional to 11,341 and 23,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,341 : 23,258 = 23,258 : x
2. Step 2: Convert to fraction form
   11,341/23,258 = 23,258/x
3. Step 3: Cross multiply
   11,341x = 23,258 × 23,258
4. Step 4: Simplify right side
   11,341x = 540,934,564
5. Step 5: Solve for x
   x = 540,934,564/11,341
6. Step 6: Final answer
   x = 47,697.25