Finding the Third Proportional to 4,596 and 10,038

Step by Step Solution

1. Step 1: Write the proportion equation
   4,596 : 10,038 = 10,038 : x
2. Step 2: Convert to fraction form
   4,596/10,038 = 10,038/x
3. Step 3: Cross multiply
   4,596x = 10,038 × 10,038
4. Step 4: Simplify right side
   4,596x = 100,761,444
5. Step 5: Solve for x
   x = 100,761,444/4,596
6. Step 6: Final answer
   x = 21,923.73