Finding the Third Proportional to 41,674 and 64,546

Step by Step Solution

1. Step 1: Write the proportion equation
   41,674 : 64,546 = 64,546 : x
2. Step 2: Convert to fraction form
   41,674/64,546 = 64,546/x
3. Step 3: Cross multiply
   41,674x = 64,546 × 64,546
4. Step 4: Simplify right side
   41,674x = 4,166,186,116
5. Step 5: Solve for x
   x = 4,166,186,116/41,674
6. Step 6: Final answer
   x = 99,970.87