Finding the Third Proportional to 1,568 and 3,468

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568 : 3,468 = 3,468 : x
2. Step 2: Convert to fraction form
   1,568/3,468 = 3,468/x
3. Step 3: Cross multiply
   1,568x = 3,468 × 3,468
4. Step 4: Simplify right side
   1,568x = 12,027,024
5. Step 5: Solve for x
   x = 12,027,024/1,568
6. Step 6: Final answer
   x = 7,670.30