Finding the Third Proportional to 1,191.75 and 1,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.75 : 1,796.38 = 1,796.38 : x
2. Step 2: Convert to fraction form
   1,191.75/1,796.38 = 1,796.38/x
3. Step 3: Cross multiply
   1,191.75x = 1,796.38 × 1,796.38
4. Step 4: Simplify right side
   1,191.75x = 3,226,963.14
5. Step 5: Solve for x
   x = 3,226,963.14/1,191.75
6. Step 6: Final answer
   x = 2,707.75