Finding the Third Proportional to 10,151 and 22,258

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151 : 22,258 = 22,258 : x
2. Step 2: Convert to fraction form
   10,151/22,258 = 22,258/x
3. Step 3: Cross multiply
   10,151x = 22,258 × 22,258
4. Step 4: Simplify right side
   10,151x = 495,418,564
5. Step 5: Solve for x
   x = 495,418,564/10,151
6. Step 6: Final answer
   x = 48,804.90