Finding the Third Proportional to 41,758 and 64,630

Step by Step Solution

1. Step 1: Write the proportion equation
   41,758 : 64,630 = 64,630 : x
2. Step 2: Convert to fraction form
   41,758/64,630 = 64,630/x
3. Step 3: Cross multiply
   41,758x = 64,630 × 64,630
4. Step 4: Simplify right side
   41,758x = 4,177,036,900
5. Step 5: Solve for x
   x = 4,177,036,900/41,758
6. Step 6: Final answer
   x = 100,029.62