Finding the Third Proportional to 21,780 and 33,408

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780 : 33,408 = 33,408 : x
2. Step 2: Convert to fraction form
   21,780/33,408 = 33,408/x
3. Step 3: Cross multiply
   21,780x = 33,408 × 33,408
4. Step 4: Simplify right side
   21,780x = 1,116,094,464
5. Step 5: Solve for x
   x = 1,116,094,464/21,780
6. Step 6: Final answer
   x = 51,244.01