Finding the Third Proportional to 16,224 and 21,984

Step by Step Solution

1. Step 1: Write the proportion equation
   16,224 : 21,984 = 21,984 : x
2. Step 2: Convert to fraction form
   16,224/21,984 = 21,984/x
3. Step 3: Cross multiply
   16,224x = 21,984 × 21,984
4. Step 4: Simplify right side
   16,224x = 483,296,256
5. Step 5: Solve for x
   x = 483,296,256/16,224
6. Step 6: Final answer
   x = 29,788.97