Finding the Third Proportional to 10,496 and 18,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 18,886 = 18,886 : x
2. Step 2: Convert to fraction form
   10,496/18,886 = 18,886/x
3. Step 3: Cross multiply
   10,496x = 18,886 × 18,886
4. Step 4: Simplify right side
   10,496x = 356,680,996
5. Step 5: Solve for x
   x = 356,680,996/10,496
6. Step 6: Final answer
   x = 33,982.56