Finding the Third Proportional to 2,737.69 and 4,234.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,737.69 : 4,234.22 = 4,234.22 : x
2. Step 2: Convert to fraction form
   2,737.69/4,234.22 = 4,234.22/x
3. Step 3: Cross multiply
   2,737.69x = 4,234.22 × 4,234.22
4. Step 4: Simplify right side
   2,737.69x = 17,928,608.42
5. Step 5: Solve for x
   x = 17,928,608.42/2,737.69
6. Step 6: Final answer
   x = 6,548.81