Finding the Third Proportional to 16,085 and 21,616

Step by Step Solution

1. Step 1: Write the proportion equation
   16,085 : 21,616 = 21,616 : x
2. Step 2: Convert to fraction form
   16,085/21,616 = 21,616/x
3. Step 3: Cross multiply
   16,085x = 21,616 × 21,616
4. Step 4: Simplify right side
   16,085x = 467,251,456
5. Step 5: Solve for x
   x = 467,251,456/16,085
6. Step 6: Final answer
   x = 29,048.89