Finding the Third Proportional to 11,096 and 23,128

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096 : 23,128 = 23,128 : x
2. Step 2: Convert to fraction form
   11,096/23,128 = 23,128/x
3. Step 3: Cross multiply
   11,096x = 23,128 × 23,128
4. Step 4: Simplify right side
   11,096x = 534,904,384
5. Step 5: Solve for x
   x = 534,904,384/11,096
6. Step 6: Final answer
   x = 48,206.96