Finding the Third Proportional to 3,196 and 4,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196 : 4,259.50 = 4,259.50 : x
2. Step 2: Convert to fraction form
   3,196/4,259.50 = 4,259.50/x
3. Step 3: Cross multiply
   3,196x = 4,259.50 × 4,259.50
4. Step 4: Simplify right side
   3,196x = 18,143,340.25
5. Step 5: Solve for x
   x = 18,143,340.25/3,196
6. Step 6: Final answer
   x = 5,676.89