Finding the Third Proportional to 10,234 and 21,499

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234 : 21,499 = 21,499 : x
2. Step 2: Convert to fraction form
   10,234/21,499 = 21,499/x
3. Step 3: Cross multiply
   10,234x = 21,499 × 21,499
4. Step 4: Simplify right side
   10,234x = 462,207,001
5. Step 5: Solve for x
   x = 462,207,001/10,234
6. Step 6: Final answer
   x = 45,163.87