Finding the Third Proportional to 2,760 and 5,843.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760 : 5,843.63 = 5,843.63 : x
2. Step 2: Convert to fraction form
   2,760/5,843.63 = 5,843.63/x
3. Step 3: Cross multiply
   2,760x = 5,843.63 × 5,843.63
4. Step 4: Simplify right side
   2,760x = 34,147,953.14
5. Step 5: Solve for x
   x = 34,147,953.14/2,760
6. Step 6: Final answer
   x = 12,372.45