Finding the Third Proportional to 2,003 and 2,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003 : 2,606.50 = 2,606.50 : x
2. Step 2: Convert to fraction form
   2,003/2,606.50 = 2,606.50/x
3. Step 3: Cross multiply
   2,003x = 2,606.50 × 2,606.50
4. Step 4: Simplify right side
   2,003x = 6,793,842.25
5. Step 5: Solve for x
   x = 6,793,842.25/2,003
6. Step 6: Final answer
   x = 3,391.83