Finding the Third Proportional to 1,182 and 1,983

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182 : 1,983 = 1,983 : x
2. Step 2: Convert to fraction form
   1,182/1,983 = 1,983/x
3. Step 3: Cross multiply
   1,182x = 1,983 × 1,983
4. Step 4: Simplify right side
   1,182x = 3,932,289
5. Step 5: Solve for x
   x = 3,932,289/1,182
6. Step 6: Final answer
   x = 3,326.81