Finding the Third Proportional to 10,105 and 15,446

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105 : 15,446 = 15,446 : x
2. Step 2: Convert to fraction form
   10,105/15,446 = 15,446/x
3. Step 3: Cross multiply
   10,105x = 15,446 × 15,446
4. Step 4: Simplify right side
   10,105x = 238,578,916
5. Step 5: Solve for x
   x = 238,578,916/10,105
6. Step 6: Final answer
   x = 23,609.99