Finding the Third Proportional to 2,632.92 and 3,966.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.92 : 3,966.05 = 3,966.05 : x
2. Step 2: Convert to fraction form
   2,632.92/3,966.05 = 3,966.05/x
3. Step 3: Cross multiply
   2,632.92x = 3,966.05 × 3,966.05
4. Step 4: Simplify right side
   2,632.92x = 15,729,527.81
5. Step 5: Solve for x
   x = 15,729,527.81/2,632.92
6. Step 6: Final answer
   x = 5,974.17