Finding the Third Proportional to 23,520 and 32,256

Step by Step Solution

1. Step 1: Write the proportion equation
   23,520 : 32,256 = 32,256 : x
2. Step 2: Convert to fraction form
   23,520/32,256 = 32,256/x
3. Step 3: Cross multiply
   23,520x = 32,256 × 32,256
4. Step 4: Simplify right side
   23,520x = 1,040,449,536
5. Step 5: Solve for x
   x = 1,040,449,536/23,520
6. Step 6: Final answer
   x = 44,236.80