Finding the Third Proportional to 2,974 and 3,298

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974 : 3,298 = 3,298 : x
2. Step 2: Convert to fraction form
   2,974/3,298 = 3,298/x
3. Step 3: Cross multiply
   2,974x = 3,298 × 3,298
4. Step 4: Simplify right side
   2,974x = 10,876,804
5. Step 5: Solve for x
   x = 10,876,804/2,974
6. Step 6: Final answer
   x = 3,657.30