Finding the Third Proportional to 10,628 and 19,924

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628 : 19,924 = 19,924 : x
2. Step 2: Convert to fraction form
   10,628/19,924 = 19,924/x
3. Step 3: Cross multiply
   10,628x = 19,924 × 19,924
4. Step 4: Simplify right side
   10,628x = 396,965,776
5. Step 5: Solve for x
   x = 396,965,776/10,628
6. Step 6: Final answer
   x = 37,350.94