Finding the Third Proportional to 1,462 and 3,208

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462 : 3,208 = 3,208 : x
2. Step 2: Convert to fraction form
   1,462/3,208 = 3,208/x
3. Step 3: Cross multiply
   1,462x = 3,208 × 3,208
4. Step 4: Simplify right side
   1,462x = 10,291,264
5. Step 5: Solve for x
   x = 10,291,264/1,462
6. Step 6: Final answer
   x = 7,039.17