Finding the Third Proportional to 41,006 and 65,199

Step by Step Solution

1. Step 1: Write the proportion equation
   41,006 : 65,199 = 65,199 : x
2. Step 2: Convert to fraction form
   41,006/65,199 = 65,199/x
3. Step 3: Cross multiply
   41,006x = 65,199 × 65,199
4. Step 4: Simplify right side
   41,006x = 4,250,909,601
5. Step 5: Solve for x
   x = 4,250,909,601/41,006
6. Step 6: Final answer
   x = 103,665.55