Finding the Third Proportional to 10,193 and 21,038

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193 : 21,038 = 21,038 : x
2. Step 2: Convert to fraction form
   10,193/21,038 = 21,038/x
3. Step 3: Cross multiply
   10,193x = 21,038 × 21,038
4. Step 4: Simplify right side
   10,193x = 442,597,444
5. Step 5: Solve for x
   x = 442,597,444/10,193
6. Step 6: Final answer
   x = 43,421.71