Finding the Third Proportional to 1,196.25 and 1,847.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.25 : 1,847.63 = 1,847.63 : x
2. Step 2: Convert to fraction form
   1,196.25/1,847.63 = 1,847.63/x
3. Step 3: Cross multiply
   1,196.25x = 1,847.63 × 1,847.63
4. Step 4: Simplify right side
   1,196.25x = 3,413,718.14
5. Step 5: Solve for x
   x = 3,413,718.14/1,196.25
6. Step 6: Final answer
   x = 2,853.68