Finding the Third Proportional to 41,822 and 64,825

Step by Step Solution

1. Step 1: Write the proportion equation
   41,822 : 64,825 = 64,825 : x
2. Step 2: Convert to fraction form
   41,822/64,825 = 64,825/x
3. Step 3: Cross multiply
   41,822x = 64,825 × 64,825
4. Step 4: Simplify right side
   41,822x = 4,202,280,625
5. Step 5: Solve for x
   x = 4,202,280,625/41,822
6. Step 6: Final answer
   x = 100,480.15