Finding the Third Proportional to 41,724 and 64,611

Step by Step Solution

1. Step 1: Write the proportion equation
   41,724 : 64,611 = 64,611 : x
2. Step 2: Convert to fraction form
   41,724/64,611 = 64,611/x
3. Step 3: Cross multiply
   41,724x = 64,611 × 64,611
4. Step 4: Simplify right side
   41,724x = 4,174,581,321
5. Step 5: Solve for x
   x = 4,174,581,321/41,724
6. Step 6: Final answer
   x = 100,052.28