Finding the Third Proportional to 10,168 and 11,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 11,128 = 11,128 : x
2. Step 2: Convert to fraction form
   10,168/11,128 = 11,128/x
3. Step 3: Cross multiply
   10,168x = 11,128 × 11,128
4. Step 4: Simplify right side
   10,168x = 123,832,384
5. Step 5: Solve for x
   x = 123,832,384/10,168
6. Step 6: Final answer
   x = 12,178.64