Finding the Third Proportional to 2,745.56 and 5,762.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.56 : 5,762.81 = 5,762.81 : x
2. Step 2: Convert to fraction form
   2,745.56/5,762.81 = 5,762.81/x
3. Step 3: Cross multiply
   2,745.56x = 5,762.81 × 5,762.81
4. Step 4: Simplify right side
   2,745.56x = 33,210,007.91
5. Step 5: Solve for x
   x = 33,210,007.91/2,745.56
6. Step 6: Final answer
   x = 12,095.88