Finding the Third Proportional to 25,408 and 34,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,408 : 34,274 = 34,274 : x
2. Step 2: Convert to fraction form
   25,408/34,274 = 34,274/x
3. Step 3: Cross multiply
   25,408x = 34,274 × 34,274
4. Step 4: Simplify right side
   25,408x = 1,174,707,076
5. Step 5: Solve for x
   x = 1,174,707,076/25,408
6. Step 6: Final answer
   x = 46,233.75