Finding the Third Proportional to 41,814 and 64,770

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 64,770 = 64,770 : x
2. Step 2: Convert to fraction form
   41,814/64,770 = 64,770/x
3. Step 3: Cross multiply
   41,814x = 64,770 × 64,770
4. Step 4: Simplify right side
   41,814x = 4,195,152,900
5. Step 5: Solve for x
   x = 4,195,152,900/41,814
6. Step 6: Final answer
   x = 100,328.91