Finding the Third Proportional to 21,996 and 53,168

Step by Step Solution

1. Step 1: Write the proportion equation
   21,996 : 53,168 = 53,168 : x
2. Step 2: Convert to fraction form
   21,996/53,168 = 53,168/x
3. Step 3: Cross multiply
   21,996x = 53,168 × 53,168
4. Step 4: Simplify right side
   21,996x = 2,826,836,224
5. Step 5: Solve for x
   x = 2,826,836,224/21,996
6. Step 6: Final answer
   x = 128,515.92