Finding the Third Proportional to 2,196 and 3,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 3,199.50 = 3,199.50 : x
2. Step 2: Convert to fraction form
   2,196/3,199.50 = 3,199.50/x
3. Step 3: Cross multiply
   2,196x = 3,199.50 × 3,199.50
4. Step 4: Simplify right side
   2,196x = 10,236,800.25
5. Step 5: Solve for x
   x = 10,236,800.25/2,196
6. Step 6: Final answer
   x = 4,661.57