Finding the Third Proportional to 25,441 and 55,258

Step by Step Solution

1. Step 1: Write the proportion equation
   25,441 : 55,258 = 55,258 : x
2. Step 2: Convert to fraction form
   25,441/55,258 = 55,258/x
3. Step 3: Cross multiply
   25,441x = 55,258 × 55,258
4. Step 4: Simplify right side
   25,441x = 3,053,446,564
5. Step 5: Solve for x
   x = 3,053,446,564/25,441
6. Step 6: Final answer
   x = 120,020.70