Finding the Third Proportional to 25,780 and 57,128

Step by Step Solution

1. Step 1: Write the proportion equation
   25,780 : 57,128 = 57,128 : x
2. Step 2: Convert to fraction form
   25,780/57,128 = 57,128/x
3. Step 3: Cross multiply
   25,780x = 57,128 × 57,128
4. Step 4: Simplify right side
   25,780x = 3,263,608,384
5. Step 5: Solve for x
   x = 3,263,608,384/25,780
6. Step 6: Final answer
   x = 126,594.58