Finding the Third Proportional to 2,938 and 3,274

Step by Step Solution

1. Step 1: Write the proportion equation
   2,938 : 3,274 = 3,274 : x
2. Step 2: Convert to fraction form
   2,938/3,274 = 3,274/x
3. Step 3: Cross multiply
   2,938x = 3,274 × 3,274
4. Step 4: Simplify right side
   2,938x = 10,719,076
5. Step 5: Solve for x
   x = 10,719,076/2,938
6. Step 6: Final answer
   x = 3,648.43