Finding the Third Proportional to 2,740.50 and 5,686.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.50 : 5,686.03 = 5,686.03 : x
2. Step 2: Convert to fraction form
   2,740.50/5,686.03 = 5,686.03/x
3. Step 3: Cross multiply
   2,740.50x = 5,686.03 × 5,686.03
4. Step 4: Simplify right side
   2,740.50x = 32,330,951.38
5. Step 5: Solve for x
   x = 32,330,951.38/2,740.50
6. Step 6: Final answer
   x = 11,797.46