Finding the Third Proportional to 25,850 and 57,546

Step by Step Solution

1. Step 1: Write the proportion equation
   25,850 : 57,546 = 57,546 : x
2. Step 2: Convert to fraction form
   25,850/57,546 = 57,546/x
3. Step 3: Cross multiply
   25,850x = 57,546 × 57,546
4. Step 4: Simplify right side
   25,850x = 3,311,542,116
5. Step 5: Solve for x
   x = 3,311,542,116/25,850
6. Step 6: Final answer
   x = 128,106.08