Finding the Third Proportional to 2,274 and 3,362

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274 : 3,362 = 3,362 : x
2. Step 2: Convert to fraction form
   2,274/3,362 = 3,362/x
3. Step 3: Cross multiply
   2,274x = 3,362 × 3,362
4. Step 4: Simplify right side
   2,274x = 11,303,044
5. Step 5: Solve for x
   x = 11,303,044/2,274
6. Step 6: Final answer
   x = 4,970.56