Finding the Third Proportional to 2,730 and 5,823

Step by Step Solution

1. Step 1: Write the proportion equation
   2,730 : 5,823 = 5,823 : x
2. Step 2: Convert to fraction form
   2,730/5,823 = 5,823/x
3. Step 3: Cross multiply
   2,730x = 5,823 × 5,823
4. Step 4: Simplify right side
   2,730x = 33,907,329
5. Step 5: Solve for x
   x = 33,907,329/2,730
6. Step 6: Final answer
   x = 12,420.27