Finding the Third Proportional to 1,186 and 1,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186 : 1,796.75 = 1,796.75 : x
2. Step 2: Convert to fraction form
   1,186/1,796.75 = 1,796.75/x
3. Step 3: Cross multiply
   1,186x = 1,796.75 × 1,796.75
4. Step 4: Simplify right side
   1,186x = 3,228,310.56
5. Step 5: Solve for x
   x = 3,228,310.56/1,186
6. Step 6: Final answer
   x = 2,722.02