Finding the Third Proportional to 41,771 and 64,778

Step by Step Solution

1. Step 1: Write the proportion equation
   41,771 : 64,778 = 64,778 : x
2. Step 2: Convert to fraction form
   41,771/64,778 = 64,778/x
3. Step 3: Cross multiply
   41,771x = 64,778 × 64,778
4. Step 4: Simplify right side
   41,771x = 4,196,189,284
5. Step 5: Solve for x
   x = 4,196,189,284/41,771
6. Step 6: Final answer
   x = 100,457.00