Finding the Third Proportional to 4,638 and 10,023

Step by Step Solution

1. Step 1: Write the proportion equation
   4,638 : 10,023 = 10,023 : x
2. Step 2: Convert to fraction form
   4,638/10,023 = 10,023/x
3. Step 3: Cross multiply
   4,638x = 10,023 × 10,023
4. Step 4: Simplify right side
   4,638x = 100,460,529
5. Step 5: Solve for x
   x = 100,460,529/4,638
6. Step 6: Final answer
   x = 21,660.31