Finding the Third Proportional to 2,326 and 3,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326 : 3,260.50 = 3,260.50 : x
2. Step 2: Convert to fraction form
   2,326/3,260.50 = 3,260.50/x
3. Step 3: Cross multiply
   2,326x = 3,260.50 × 3,260.50
4. Step 4: Simplify right side
   2,326x = 10,630,860.25
5. Step 5: Solve for x
   x = 10,630,860.25/2,326
6. Step 6: Final answer
   x = 4,570.45