Finding the Third Proportional to 20,780 and 32,268

Step by Step Solution

1. Step 1: Write the proportion equation
   20,780 : 32,268 = 32,268 : x
2. Step 2: Convert to fraction form
   20,780/32,268 = 32,268/x
3. Step 3: Cross multiply
   20,780x = 32,268 × 32,268
4. Step 4: Simplify right side
   20,780x = 1,041,223,824
5. Step 5: Solve for x
   x = 1,041,223,824/20,780
6. Step 6: Final answer
   x = 50,107.02