Finding the Third Proportional to 2,601.81 and 5,722.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.81 : 5,722.37 = 5,722.37 : x
2. Step 2: Convert to fraction form
   2,601.81/5,722.37 = 5,722.37/x
3. Step 3: Cross multiply
   2,601.81x = 5,722.37 × 5,722.37
4. Step 4: Simplify right side
   2,601.81x = 32,745,463.88
5. Step 5: Solve for x
   x = 32,745,463.88/2,601.81
6. Step 6: Final answer
   x = 12,585.65