Finding the Third Proportional to 2,462 and 5,132

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462 : 5,132 = 5,132 : x
2. Step 2: Convert to fraction form
   2,462/5,132 = 5,132/x
3. Step 3: Cross multiply
   2,462x = 5,132 × 5,132
4. Step 4: Simplify right side
   2,462x = 26,337,424
5. Step 5: Solve for x
   x = 26,337,424/2,462
6. Step 6: Final answer
   x = 10,697.57