Finding the Third Proportional to 2,590 and 4,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590 : 4,103.50 = 4,103.50 : x
2. Step 2: Convert to fraction form
   2,590/4,103.50 = 4,103.50/x
3. Step 3: Cross multiply
   2,590x = 4,103.50 × 4,103.50
4. Step 4: Simplify right side
   2,590x = 16,838,712.25
5. Step 5: Solve for x
   x = 16,838,712.25/2,590
6. Step 6: Final answer
   x = 6,501.43