Finding the Third Proportional to 1,196.86 and 1,846.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.86 : 1,846.76 = 1,846.76 : x
2. Step 2: Convert to fraction form
   1,196.86/1,846.76 = 1,846.76/x
3. Step 3: Cross multiply
   1,196.86x = 1,846.76 × 1,846.76
4. Step 4: Simplify right side
   1,196.86x = 3,410,514.42
5. Step 5: Solve for x
   x = 3,410,514.42/1,196.86
6. Step 6: Final answer
   x = 2,849.55