Finding the Third Proportional to 10,361 and 16,412

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361 : 16,412 = 16,412 : x
2. Step 2: Convert to fraction form
   10,361/16,412 = 16,412/x
3. Step 3: Cross multiply
   10,361x = 16,412 × 16,412
4. Step 4: Simplify right side
   10,361x = 269,353,744
5. Step 5: Solve for x
   x = 269,353,744/10,361
6. Step 6: Final answer
   x = 25,996.89