Finding the Third Proportional to 10,449 and 19,669

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449 : 19,669 = 19,669 : x
2. Step 2: Convert to fraction form
   10,449/19,669 = 19,669/x
3. Step 3: Cross multiply
   10,449x = 19,669 × 19,669
4. Step 4: Simplify right side
   10,449x = 386,869,561
5. Step 5: Solve for x
   x = 386,869,561/10,449
6. Step 6: Final answer
   x = 37,024.55