Finding the Third Proportional to 22,334 and 32,768

Step by Step Solution

1. Step 1: Write the proportion equation
   22,334 : 32,768 = 32,768 : x
2. Step 2: Convert to fraction form
   22,334/32,768 = 32,768/x
3. Step 3: Cross multiply
   22,334x = 32,768 × 32,768
4. Step 4: Simplify right side
   22,334x = 1,073,741,824
5. Step 5: Solve for x
   x = 1,073,741,824/22,334
6. Step 6: Final answer
   x = 48,076.56