Finding the Third Proportional to 21,200 and 33,536

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 33,536 = 33,536 : x
2. Step 2: Convert to fraction form
   21,200/33,536 = 33,536/x
3. Step 3: Cross multiply
   21,200x = 33,536 × 33,536
4. Step 4: Simplify right side
   21,200x = 1,124,663,296
5. Step 5: Solve for x
   x = 1,124,663,296/21,200
6. Step 6: Final answer
   x = 53,050.16