Finding the Third Proportional to 1,578 and 3,470

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578 : 3,470 = 3,470 : x
2. Step 2: Convert to fraction form
   1,578/3,470 = 3,470/x
3. Step 3: Cross multiply
   1,578x = 3,470 × 3,470
4. Step 4: Simplify right side
   1,578x = 12,040,900
5. Step 5: Solve for x
   x = 12,040,900/1,578
6. Step 6: Final answer
   x = 7,630.48