Finding the Third Proportional to 2,681.81 and 5,688.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,681.81 : 5,688.19 = 5,688.19 : x
2. Step 2: Convert to fraction form
   2,681.81/5,688.19 = 5,688.19/x
3. Step 3: Cross multiply
   2,681.81x = 5,688.19 × 5,688.19
4. Step 4: Simplify right side
   2,681.81x = 32,355,477.04
5. Step 5: Solve for x
   x = 32,355,477.04/2,681.81
6. Step 6: Final answer
   x = 12,064.78