Finding the Third Proportional to 25,619 and 54,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,619 : 54,274 = 54,274 : x
2. Step 2: Convert to fraction form
   25,619/54,274 = 54,274/x
3. Step 3: Cross multiply
   25,619x = 54,274 × 54,274
4. Step 4: Simplify right side
   25,619x = 2,945,667,076
5. Step 5: Solve for x
   x = 2,945,667,076/25,619
6. Step 6: Final answer
   x = 114,979.78