Finding the Third Proportional to 684 and 1,467.56

Step by Step Solution

1. Step 1: Write the proportion equation
   684 : 1,467.56 = 1,467.56 : x
2. Step 2: Convert to fraction form
   684/1,467.56 = 1,467.56/x
3. Step 3: Cross multiply
   684x = 1,467.56 × 1,467.56
4. Step 4: Simplify right side
   684x = 2,153,739.69
5. Step 5: Solve for x
   x = 2,153,739.69/684
6. Step 6: Final answer
   x = 3,148.74