Finding the Third Proportional to 41,756 and 64,578

Step by Step Solution

1. Step 1: Write the proportion equation
   41,756 : 64,578 = 64,578 : x
2. Step 2: Convert to fraction form
   41,756/64,578 = 64,578/x
3. Step 3: Cross multiply
   41,756x = 64,578 × 64,578
4. Step 4: Simplify right side
   41,756x = 4,170,318,084
5. Step 5: Solve for x
   x = 4,170,318,084/41,756
6. Step 6: Final answer
   x = 99,873.51