Finding the Third Proportional to 41,782 and 64,727

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782 : 64,727 = 64,727 : x
2. Step 2: Convert to fraction form
   41,782/64,727 = 64,727/x
3. Step 3: Cross multiply
   41,782x = 64,727 × 64,727
4. Step 4: Simplify right side
   41,782x = 4,189,584,529
5. Step 5: Solve for x
   x = 4,189,584,529/41,782
6. Step 6: Final answer
   x = 100,272.47