Finding the Third Proportional to 2,132 and 4,626

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132 : 4,626 = 4,626 : x
2. Step 2: Convert to fraction form
   2,132/4,626 = 4,626/x
3. Step 3: Cross multiply
   2,132x = 4,626 × 4,626
4. Step 4: Simplify right side
   2,132x = 21,399,876
5. Step 5: Solve for x
   x = 21,399,876/2,132
6. Step 6: Final answer
   x = 10,037.47