Finding the Third Proportional to 10,010 and 14,419

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 14,419 = 14,419 : x
2. Step 2: Convert to fraction form
   10,010/14,419 = 14,419/x
3. Step 3: Cross multiply
   10,010x = 14,419 × 14,419
4. Step 4: Simplify right side
   10,010x = 207,907,561
5. Step 5: Solve for x
   x = 207,907,561/10,010
6. Step 6: Final answer
   x = 20,769.99