Finding the Third Proportional to 21,200 and 33,563

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 33,563 = 33,563 : x
2. Step 2: Convert to fraction form
   21,200/33,563 = 33,563/x
3. Step 3: Cross multiply
   21,200x = 33,563 × 33,563
4. Step 4: Simplify right side
   21,200x = 1,126,474,969
5. Step 5: Solve for x
   x = 1,126,474,969/21,200
6. Step 6: Final answer
   x = 53,135.61