Finding the Third Proportional to 41,882 and 64,766

Step by Step Solution

1. Step 1: Write the proportion equation
   41,882 : 64,766 = 64,766 : x
2. Step 2: Convert to fraction form
   41,882/64,766 = 64,766/x
3. Step 3: Cross multiply
   41,882x = 64,766 × 64,766
4. Step 4: Simplify right side
   41,882x = 4,194,634,756
5. Step 5: Solve for x
   x = 4,194,634,756/41,882
6. Step 6: Final answer
   x = 100,153.64