Finding the Third Proportional to 1,462 and 2,238

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462 : 2,238 = 2,238 : x
2. Step 2: Convert to fraction form
   1,462/2,238 = 2,238/x
3. Step 3: Cross multiply
   1,462x = 2,238 × 2,238
4. Step 4: Simplify right side
   1,462x = 5,008,644
5. Step 5: Solve for x
   x = 5,008,644/1,462
6. Step 6: Final answer
   x = 3,425.89