Finding the Third Proportional to 2,004 and 2,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004 : 2,680.50 = 2,680.50 : x
2. Step 2: Convert to fraction form
   2,004/2,680.50 = 2,680.50/x
3. Step 3: Cross multiply
   2,004x = 2,680.50 × 2,680.50
4. Step 4: Simplify right side
   2,004x = 7,185,080.25
5. Step 5: Solve for x
   x = 7,185,080.25/2,004
6. Step 6: Final answer
   x = 3,585.37