Finding the Third Proportional to 21,780 and 33,052

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780 : 33,052 = 33,052 : x
2. Step 2: Convert to fraction form
   21,780/33,052 = 33,052/x
3. Step 3: Cross multiply
   21,780x = 33,052 × 33,052
4. Step 4: Simplify right side
   21,780x = 1,092,434,704
5. Step 5: Solve for x
   x = 1,092,434,704/21,780
6. Step 6: Final answer
   x = 50,157.70