Finding the Third Proportional to 1,834 and 2,002

Step by Step Solution

1. Step 1: Write the proportion equation
   1,834 : 2,002 = 2,002 : x
2. Step 2: Convert to fraction form
   1,834/2,002 = 2,002/x
3. Step 3: Cross multiply
   1,834x = 2,002 × 2,002
4. Step 4: Simplify right side
   1,834x = 4,008,004
5. Step 5: Solve for x
   x = 4,008,004/1,834
6. Step 6: Final answer
   x = 2,185.39