Finding the Third Proportional to 41,594 and 64,647

Step by Step Solution

1. Step 1: Write the proportion equation
   41,594 : 64,647 = 64,647 : x
2. Step 2: Convert to fraction form
   41,594/64,647 = 64,647/x
3. Step 3: Cross multiply
   41,594x = 64,647 × 64,647
4. Step 4: Simplify right side
   41,594x = 4,179,234,609
5. Step 5: Solve for x
   x = 4,179,234,609/41,594
6. Step 6: Final answer
   x = 100,476.86