Finding the Third Proportional to 3,667.50 and 5,681.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.50 : 5,681.81 = 5,681.81 : x
2. Step 2: Convert to fraction form
   3,667.50/5,681.81 = 5,681.81/x
3. Step 3: Cross multiply
   3,667.50x = 5,681.81 × 5,681.81
4. Step 4: Simplify right side
   3,667.50x = 32,282,993.29
5. Step 5: Solve for x
   x = 32,282,993.29/3,667.50
6. Step 6: Final answer
   x = 8,802.45