Finding the Third Proportional to 10,019 and 21,514

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019 : 21,514 = 21,514 : x
2. Step 2: Convert to fraction form
   10,019/21,514 = 21,514/x
3. Step 3: Cross multiply
   10,019x = 21,514 × 21,514
4. Step 4: Simplify right side
   10,019x = 462,852,196
5. Step 5: Solve for x
   x = 462,852,196/10,019
6. Step 6: Final answer
   x = 46,197.44