Finding the Third Proportional to 25,466 and 51,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,466 : 51,274 = 51,274 : x
2. Step 2: Convert to fraction form
   25,466/51,274 = 51,274/x
3. Step 3: Cross multiply
   25,466x = 51,274 × 51,274
4. Step 4: Simplify right side
   25,466x = 2,629,023,076
5. Step 5: Solve for x
   x = 2,629,023,076/25,466
6. Step 6: Final answer
   x = 103,236.59