Finding the Third Proportional to 2,462 and 5,783

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462 : 5,783 = 5,783 : x
2. Step 2: Convert to fraction form
   2,462/5,783 = 5,783/x
3. Step 3: Cross multiply
   2,462x = 5,783 × 5,783
4. Step 4: Simplify right side
   2,462x = 33,443,089
5. Step 5: Solve for x
   x = 33,443,089/2,462
6. Step 6: Final answer
   x = 13,583.71