Finding the Third Proportional to 41,619 and 64,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,619 : 64,369.50 = 64,369.50 : x
2. Step 2: Convert to fraction form
   41,619/64,369.50 = 64,369.50/x
3. Step 3: Cross multiply
   41,619x = 64,369.50 × 64,369.50
4. Step 4: Simplify right side
   41,619x = 4,143,432,530.25
5. Step 5: Solve for x
   x = 4,143,432,530.25/41,619
6. Step 6: Final answer
   x = 99,556.27