Finding the Third Proportional to 1,150 and 2,462

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150 : 2,462 = 2,462 : x
2. Step 2: Convert to fraction form
   1,150/2,462 = 2,462/x
3. Step 3: Cross multiply
   1,150x = 2,462 × 2,462
4. Step 4: Simplify right side
   1,150x = 6,061,444
5. Step 5: Solve for x
   x = 6,061,444/1,150
6. Step 6: Final answer
   x = 5,270.82