Finding the Third Proportional to 21,788 and 33,533

Step by Step Solution

1. Step 1: Write the proportion equation
   21,788 : 33,533 = 33,533 : x
2. Step 2: Convert to fraction form
   21,788/33,533 = 33,533/x
3. Step 3: Cross multiply
   21,788x = 33,533 × 33,533
4. Step 4: Simplify right side
   21,788x = 1,124,462,089
5. Step 5: Solve for x
   x = 1,124,462,089/21,788
6. Step 6: Final answer
   x = 51,609.24