Finding the Third Proportional to 2,561.38 and 3,942.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.38 : 3,942.63 = 3,942.63 : x
2. Step 2: Convert to fraction form
   2,561.38/3,942.63 = 3,942.63/x
3. Step 3: Cross multiply
   2,561.38x = 3,942.63 × 3,942.63
4. Step 4: Simplify right side
   2,561.38x = 15,544,291.89
5. Step 5: Solve for x
   x = 15,544,291.89/2,561.38
6. Step 6: Final answer
   x = 6,068.73