Finding the Third Proportional to 10,412 and 15,936

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 15,936 = 15,936 : x
2. Step 2: Convert to fraction form
   10,412/15,936 = 15,936/x
3. Step 3: Cross multiply
   10,412x = 15,936 × 15,936
4. Step 4: Simplify right side
   10,412x = 253,956,096
5. Step 5: Solve for x
   x = 253,956,096/10,412
6. Step 6: Final answer
   x = 24,390.71