Finding the Third Proportional to 41,762 and 64,678

Step by Step Solution

1. Step 1: Write the proportion equation
   41,762 : 64,678 = 64,678 : x
2. Step 2: Convert to fraction form
   41,762/64,678 = 64,678/x
3. Step 3: Cross multiply
   41,762x = 64,678 × 64,678
4. Step 4: Simplify right side
   41,762x = 4,183,243,684
5. Step 5: Solve for x
   x = 4,183,243,684/41,762
6. Step 6: Final answer
   x = 100,168.66