Finding the Third Proportional to 41,014 and 64,256

Step by Step Solution

1. Step 1: Write the proportion equation
   41,014 : 64,256 = 64,256 : x
2. Step 2: Convert to fraction form
   41,014/64,256 = 64,256/x
3. Step 3: Cross multiply
   41,014x = 64,256 × 64,256
4. Step 4: Simplify right side
   41,014x = 4,128,833,536
5. Step 5: Solve for x
   x = 4,128,833,536/41,014
6. Step 6: Final answer
   x = 100,668.88