Finding the Third Proportional to 11,096 and 16,642

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096 : 16,642 = 16,642 : x
2. Step 2: Convert to fraction form
   11,096/16,642 = 16,642/x
3. Step 3: Cross multiply
   11,096x = 16,642 × 16,642
4. Step 4: Simplify right side
   11,096x = 276,956,164
5. Step 5: Solve for x
   x = 276,956,164/11,096
6. Step 6: Final answer
   x = 24,960.00