Finding the Third Proportional to 20,994 and 32,768

Step by Step Solution

1. Step 1: Write the proportion equation
   20,994 : 32,768 = 32,768 : x
2. Step 2: Convert to fraction form
   20,994/32,768 = 32,768/x
3. Step 3: Cross multiply
   20,994x = 32,768 × 32,768
4. Step 4: Simplify right side
   20,994x = 1,073,741,824
5. Step 5: Solve for x
   x = 1,073,741,824/20,994
6. Step 6: Final answer
   x = 51,145.18