Finding the Third Proportional to 2,605.50 and 3,908.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.50 : 3,908.67 = 3,908.67 : x
2. Step 2: Convert to fraction form
   2,605.50/3,908.67 = 3,908.67/x
3. Step 3: Cross multiply
   2,605.50x = 3,908.67 × 3,908.67
4. Step 4: Simplify right side
   2,605.50x = 15,277,715.83
5. Step 5: Solve for x
   x = 15,277,715.83/2,605.50
6. Step 6: Final answer
   x = 5,863.64