Finding the Third Proportional to 2,604 and 3,711.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604 : 3,711.38 = 3,711.38 : x
2. Step 2: Convert to fraction form
   2,604/3,711.38 = 3,711.38/x
3. Step 3: Cross multiply
   2,604x = 3,711.38 × 3,711.38
4. Step 4: Simplify right side
   2,604x = 13,774,304.39
5. Step 5: Solve for x
   x = 13,774,304.39/2,604
6. Step 6: Final answer
   x = 5,289.67