Finding the Third Proportional to 2,250 and 3,470

Step by Step Solution

1. Step 1: Write the proportion equation
   2,250 : 3,470 = 3,470 : x
2. Step 2: Convert to fraction form
   2,250/3,470 = 3,470/x
3. Step 3: Cross multiply
   2,250x = 3,470 × 3,470
4. Step 4: Simplify right side
   2,250x = 12,040,900
5. Step 5: Solve for x
   x = 12,040,900/2,250
6. Step 6: Final answer
   x = 5,351.51