Finding the Third Proportional to 11,300 and 16,886

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 16,886 = 16,886 : x
2. Step 2: Convert to fraction form
   11,300/16,886 = 16,886/x
3. Step 3: Cross multiply
   11,300x = 16,886 × 16,886
4. Step 4: Simplify right side
   11,300x = 285,136,996
5. Step 5: Solve for x
   x = 285,136,996/11,300
6. Step 6: Final answer
   x = 25,233.36