Finding the Third Proportional to 2,146 and 4,690

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146 : 4,690 = 4,690 : x
2. Step 2: Convert to fraction form
   2,146/4,690 = 4,690/x
3. Step 3: Cross multiply
   2,146x = 4,690 × 4,690
4. Step 4: Simplify right side
   2,146x = 21,996,100
5. Step 5: Solve for x
   x = 21,996,100/2,146
6. Step 6: Final answer
   x = 10,249.81