Finding the Third Proportional to 16,256 and 21,840

Step by Step Solution

1. Step 1: Write the proportion equation
   16,256 : 21,840 = 21,840 : x
2. Step 2: Convert to fraction form
   16,256/21,840 = 21,840/x
3. Step 3: Cross multiply
   16,256x = 21,840 × 21,840
4. Step 4: Simplify right side
   16,256x = 476,985,600
5. Step 5: Solve for x
   x = 476,985,600/16,256
6. Step 6: Final answer
   x = 29,342.13