Finding the Third Proportional to 16,101 and 21,204

Step by Step Solution

1. Step 1: Write the proportion equation
   16,101 : 21,204 = 21,204 : x
2. Step 2: Convert to fraction form
   16,101/21,204 = 21,204/x
3. Step 3: Cross multiply
   16,101x = 21,204 × 21,204
4. Step 4: Simplify right side
   16,101x = 449,609,616
5. Step 5: Solve for x
   x = 449,609,616/16,101
6. Step 6: Final answer
   x = 27,924.33