Finding the Third Proportional to 1,196.02 and 1,819.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 1,819.65 = 1,819.65 : x
2. Step 2: Convert to fraction form
   1,196.02/1,819.65 = 1,819.65/x
3. Step 3: Cross multiply
   1,196.02x = 1,819.65 × 1,819.65
4. Step 4: Simplify right side
   1,196.02x = 3,311,134.65
5. Step 5: Solve for x
   x = 3,311,134.65/1,196.02
6. Step 6: Final answer
   x = 2,768.47