Finding the Third Proportional to 2,730 and 5,849.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,730 : 5,849.53 = 5,849.53 : x
2. Step 2: Convert to fraction form
   2,730/5,849.53 = 5,849.53/x
3. Step 3: Cross multiply
   2,730x = 5,849.53 × 5,849.53
4. Step 4: Simplify right side
   2,730x = 34,217,015.84
5. Step 5: Solve for x
   x = 34,217,015.84/2,730
6. Step 6: Final answer
   x = 12,533.71