Finding the Third Proportional to 10,606 and 19,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 19,886 = 19,886 : x
2. Step 2: Convert to fraction form
   10,606/19,886 = 19,886/x
3. Step 3: Cross multiply
   10,606x = 19,886 × 19,886
4. Step 4: Simplify right side
   10,606x = 395,452,996
5. Step 5: Solve for x
   x = 395,452,996/10,606
6. Step 6: Final answer
   x = 37,285.78