Finding the Third Proportional to 41,820 and 64,822

Step by Step Solution

1. Step 1: Write the proportion equation
   41,820 : 64,822 = 64,822 : x
2. Step 2: Convert to fraction form
   41,820/64,822 = 64,822/x
3. Step 3: Cross multiply
   41,820x = 64,822 × 64,822
4. Step 4: Simplify right side
   41,820x = 4,201,891,684
5. Step 5: Solve for x
   x = 4,201,891,684/41,820
6. Step 6: Final answer
   x = 100,475.65