Finding the Third Proportional to 3,275 and 4,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,275 : 4,196.50 = 4,196.50 : x
2. Step 2: Convert to fraction form
   3,275/4,196.50 = 4,196.50/x
3. Step 3: Cross multiply
   3,275x = 4,196.50 × 4,196.50
4. Step 4: Simplify right side
   3,275x = 17,610,612.25
5. Step 5: Solve for x
   x = 17,610,612.25/3,275
6. Step 6: Final answer
   x = 5,377.29