Finding the Third Proportional to 25,838 and 57,520

Step by Step Solution

1. Step 1: Write the proportion equation
   25,838 : 57,520 = 57,520 : x
2. Step 2: Convert to fraction form
   25,838/57,520 = 57,520/x
3. Step 3: Cross multiply
   25,838x = 57,520 × 57,520
4. Step 4: Simplify right side
   25,838x = 3,308,550,400
5. Step 5: Solve for x
   x = 3,308,550,400/25,838
6. Step 6: Final answer
   x = 128,049.79