Finding the Third Proportional to 10,906 and 16,008

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 16,008 = 16,008 : x
2. Step 2: Convert to fraction form
   10,906/16,008 = 16,008/x
3. Step 3: Cross multiply
   10,906x = 16,008 × 16,008
4. Step 4: Simplify right side
   10,906x = 256,256,064
5. Step 5: Solve for x
   x = 256,256,064/10,906
6. Step 6: Final answer
   x = 23,496.80