Finding the Third Proportional to 24,160 and 32,256

Step by Step Solution

1. Step 1: Write the proportion equation
   24,160 : 32,256 = 32,256 : x
2. Step 2: Convert to fraction form
   24,160/32,256 = 32,256/x
3. Step 3: Cross multiply
   24,160x = 32,256 × 32,256
4. Step 4: Simplify right side
   24,160x = 1,040,449,536
5. Step 5: Solve for x
   x = 1,040,449,536/24,160
6. Step 6: Final answer
   x = 43,064.96