Finding the Third Proportional to 25,696 and 56,128

Step by Step Solution

1. Step 1: Write the proportion equation
   25,696 : 56,128 = 56,128 : x
2. Step 2: Convert to fraction form
   25,696/56,128 = 56,128/x
3. Step 3: Cross multiply
   25,696x = 56,128 × 56,128
4. Step 4: Simplify right side
   25,696x = 3,150,352,384
5. Step 5: Solve for x
   x = 3,150,352,384/25,696
6. Step 6: Final answer
   x = 122,600.89