Finding the Third Proportional to 13,808 and 21,533

Step by Step Solution

1. Step 1: Write the proportion equation
   13,808 : 21,533 = 21,533 : x
2. Step 2: Convert to fraction form
   13,808/21,533 = 21,533/x
3. Step 3: Cross multiply
   13,808x = 21,533 × 21,533
4. Step 4: Simplify right side
   13,808x = 463,670,089
5. Step 5: Solve for x
   x = 463,670,089/13,808
6. Step 6: Final answer
   x = 33,579.82