Finding the Third Proportional to 10,258 and 22,446

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258 : 22,446 = 22,446 : x
2. Step 2: Convert to fraction form
   10,258/22,446 = 22,446/x
3. Step 3: Cross multiply
   10,258x = 22,446 × 22,446
4. Step 4: Simplify right side
   10,258x = 503,822,916
5. Step 5: Solve for x
   x = 503,822,916/10,258
6. Step 6: Final answer
   x = 49,115.12