Finding the Third Proportional to 25,648 and 57,882

Step by Step Solution

1. Step 1: Write the proportion equation
   25,648 : 57,882 = 57,882 : x
2. Step 2: Convert to fraction form
   25,648/57,882 = 57,882/x
3. Step 3: Cross multiply
   25,648x = 57,882 × 57,882
4. Step 4: Simplify right side
   25,648x = 3,350,325,924
5. Step 5: Solve for x
   x = 3,350,325,924/25,648
6. Step 6: Final answer
   x = 130,627.18