Finding the Third Proportional to 2,974 and 3,514

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974 : 3,514 = 3,514 : x
2. Step 2: Convert to fraction form
   2,974/3,514 = 3,514/x
3. Step 3: Cross multiply
   2,974x = 3,514 × 3,514
4. Step 4: Simplify right side
   2,974x = 12,348,196
5. Step 5: Solve for x
   x = 12,348,196/2,974
6. Step 6: Final answer
   x = 4,152.05