Finding the Third Proportional to 1,196.96 and 1,847.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.96 : 1,847.18 = 1,847.18 : x
2. Step 2: Convert to fraction form
   1,196.96/1,847.18 = 1,847.18/x
3. Step 3: Cross multiply
   1,196.96x = 1,847.18 × 1,847.18
4. Step 4: Simplify right side
   1,196.96x = 3,412,072.80
5. Step 5: Solve for x
   x = 3,412,072.80/1,196.96
6. Step 6: Final answer
   x = 2,850.60