Finding the Third Proportional to 1,832 and 1,994

Step by Step Solution

1. Step 1: Write the proportion equation
   1,832 : 1,994 = 1,994 : x
2. Step 2: Convert to fraction form
   1,832/1,994 = 1,994/x
3. Step 3: Cross multiply
   1,832x = 1,994 × 1,994
4. Step 4: Simplify right side
   1,832x = 3,976,036
5. Step 5: Solve for x
   x = 3,976,036/1,832
6. Step 6: Final answer
   x = 2,170.33