Finding the Third Proportional to 2,730 and 5,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,730 : 5,784 = 5,784 : x
2. Step 2: Convert to fraction form
   2,730/5,784 = 5,784/x
3. Step 3: Cross multiply
   2,730x = 5,784 × 5,784
4. Step 4: Simplify right side
   2,730x = 33,454,656
5. Step 5: Solve for x
   x = 33,454,656/2,730
6. Step 6: Final answer
   x = 12,254.45