Finding the Third Proportional to 2,541.38 and 3,938.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.38 : 3,938.63 = 3,938.63 : x
2. Step 2: Convert to fraction form
   2,541.38/3,938.63 = 3,938.63/x
3. Step 3: Cross multiply
   2,541.38x = 3,938.63 × 3,938.63
4. Step 4: Simplify right side
   2,541.38x = 15,512,766.89
5. Step 5: Solve for x
   x = 15,512,766.89/2,541.38
6. Step 6: Final answer
   x = 6,104.08