Finding the Third Proportional to 10,640 and 23,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 23,128 = 23,128 : x
2. Step 2: Convert to fraction form
   10,640/23,128 = 23,128/x
3. Step 3: Cross multiply
   10,640x = 23,128 × 23,128
4. Step 4: Simplify right side
   10,640x = 534,904,384
5. Step 5: Solve for x
   x = 534,904,384/10,640
6. Step 6: Final answer
   x = 50,272.97