Finding the Third Proportional to 1,196.02 and 1,805.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 1,805.41 = 1,805.41 : x
2. Step 2: Convert to fraction form
   1,196.02/1,805.41 = 1,805.41/x
3. Step 3: Cross multiply
   1,196.02x = 1,805.41 × 1,805.41
4. Step 4: Simplify right side
   1,196.02x = 3,259,519.94
5. Step 5: Solve for x
   x = 3,259,519.94/1,196.02
6. Step 6: Final answer
   x = 2,725.32