Finding the Third Proportional to 2,662.45 and 3,723.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,662.45 : 3,723.61 = 3,723.61 : x
2. Step 2: Convert to fraction form
   2,662.45/3,723.61 = 3,723.61/x
3. Step 3: Cross multiply
   2,662.45x = 3,723.61 × 3,723.61
4. Step 4: Simplify right side
   2,662.45x = 13,865,266.78
5. Step 5: Solve for x
   x = 13,865,266.78/2,662.45
6. Step 6: Final answer
   x = 5,207.70