Finding the Third Proportional to 2,262 and 3,512

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262 : 3,512 = 3,512 : x
2. Step 2: Convert to fraction form
   2,262/3,512 = 3,512/x
3. Step 3: Cross multiply
   2,262x = 3,512 × 3,512
4. Step 4: Simplify right side
   2,262x = 12,334,144
5. Step 5: Solve for x
   x = 12,334,144/2,262
6. Step 6: Final answer
   x = 5,452.76