Finding the Third Proportional to 1,196.44 and 1,747.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.44 : 1,747.41 = 1,747.41 : x
2. Step 2: Convert to fraction form
   1,196.44/1,747.41 = 1,747.41/x
3. Step 3: Cross multiply
   1,196.44x = 1,747.41 × 1,747.41
4. Step 4: Simplify right side
   1,196.44x = 3,053,428.60
5. Step 5: Solve for x
   x = 3,053,428.60/1,196.44
6. Step 6: Final answer
   x = 2,552.10