Finding the Third Proportional to 41,733 and 64,674

Step by Step Solution

1. Step 1: Write the proportion equation
   41,733 : 64,674 = 64,674 : x
2. Step 2: Convert to fraction form
   41,733/64,674 = 64,674/x
3. Step 3: Cross multiply
   41,733x = 64,674 × 64,674
4. Step 4: Simplify right side
   41,733x = 4,182,726,276
5. Step 5: Solve for x
   x = 4,182,726,276/41,733
6. Step 6: Final answer
   x = 100,225.87