Finding the Third Proportional to 14,670 and 32,256

Step by Step Solution

1. Step 1: Write the proportion equation
   14,670 : 32,256 = 32,256 : x
2. Step 2: Convert to fraction form
   14,670/32,256 = 32,256/x
3. Step 3: Cross multiply
   14,670x = 32,256 × 32,256
4. Step 4: Simplify right side
   14,670x = 1,040,449,536
5. Step 5: Solve for x
   x = 1,040,449,536/14,670
6. Step 6: Final answer
   x = 70,923.62