Finding the Third Proportional to 2,740.50 and 5,942.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.50 : 5,942.32 = 5,942.32 : x
2. Step 2: Convert to fraction form
   2,740.50/5,942.32 = 5,942.32/x
3. Step 3: Cross multiply
   2,740.50x = 5,942.32 × 5,942.32
4. Step 4: Simplify right side
   2,740.50x = 35,311,170.70
5. Step 5: Solve for x
   x = 35,311,170.70/2,740.50
6. Step 6: Final answer
   x = 12,884.94