Finding the Third Proportional to 41,783 and 64,729

Step by Step Solution

1. Step 1: Write the proportion equation
   41,783 : 64,729 = 64,729 : x
2. Step 2: Convert to fraction form
   41,783/64,729 = 64,729/x
3. Step 3: Cross multiply
   41,783x = 64,729 × 64,729
4. Step 4: Simplify right side
   41,783x = 4,189,843,441
5. Step 5: Solve for x
   x = 4,189,843,441/41,783
6. Step 6: Final answer
   x = 100,276.27