Finding the Third Proportional to 16,128 and 21,888

Step by Step Solution

1. Step 1: Write the proportion equation
   16,128 : 21,888 = 21,888 : x
2. Step 2: Convert to fraction form
   16,128/21,888 = 21,888/x
3. Step 3: Cross multiply
   16,128x = 21,888 × 21,888
4. Step 4: Simplify right side
   16,128x = 479,084,544
5. Step 5: Solve for x
   x = 479,084,544/16,128
6. Step 6: Final answer
   x = 29,705.14