Finding the Third Proportional to 21,764 and 33,984

Step by Step Solution

1. Step 1: Write the proportion equation
   21,764 : 33,984 = 33,984 : x
2. Step 2: Convert to fraction form
   21,764/33,984 = 33,984/x
3. Step 3: Cross multiply
   21,764x = 33,984 × 33,984
4. Step 4: Simplify right side
   21,764x = 1,154,912,256
5. Step 5: Solve for x
   x = 1,154,912,256/21,764
6. Step 6: Final answer
   x = 53,065.26