Finding the Third Proportional to 16,199 and 21,533

Step by Step Solution

1. Step 1: Write the proportion equation
   16,199 : 21,533 = 21,533 : x
2. Step 2: Convert to fraction form
   16,199/21,533 = 21,533/x
3. Step 3: Cross multiply
   16,199x = 21,533 × 21,533
4. Step 4: Simplify right side
   16,199x = 463,670,089
5. Step 5: Solve for x
   x = 463,670,089/16,199
6. Step 6: Final answer
   x = 28,623.38