Finding the Third Proportional to 11,595 and 20,886

Step by Step Solution

1. Step 1: Write the proportion equation
   11,595 : 20,886 = 20,886 : x
2. Step 2: Convert to fraction form
   11,595/20,886 = 20,886/x
3. Step 3: Cross multiply
   11,595x = 20,886 × 20,886
4. Step 4: Simplify right side
   11,595x = 436,224,996
5. Step 5: Solve for x
   x = 436,224,996/11,595
6. Step 6: Final answer
   x = 37,621.82