Finding the Third Proportional to 41,438 and 65,640

Step by Step Solution

1. Step 1: Write the proportion equation
   41,438 : 65,640 = 65,640 : x
2. Step 2: Convert to fraction form
   41,438/65,640 = 65,640/x
3. Step 3: Cross multiply
   41,438x = 65,640 × 65,640
4. Step 4: Simplify right side
   41,438x = 4,308,609,600
5. Step 5: Solve for x
   x = 4,308,609,600/41,438
6. Step 6: Final answer
   x = 103,977.26