Finding the Third Proportional to 2,461 and 3,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461 : 3,203.50 = 3,203.50 : x
2. Step 2: Convert to fraction form
   2,461/3,203.50 = 3,203.50/x
3. Step 3: Cross multiply
   2,461x = 3,203.50 × 3,203.50
4. Step 4: Simplify right side
   2,461x = 10,262,412.25
5. Step 5: Solve for x
   x = 10,262,412.25/2,461
6. Step 6: Final answer
   x = 4,170.02