Finding the Third Proportional to 41,300 and 65,642

Step by Step Solution

1. Step 1: Write the proportion equation
   41,300 : 65,642 = 65,642 : x
2. Step 2: Convert to fraction form
   41,300/65,642 = 65,642/x
3. Step 3: Cross multiply
   41,300x = 65,642 × 65,642
4. Step 4: Simplify right side
   41,300x = 4,308,872,164
5. Step 5: Solve for x
   x = 4,308,872,164/41,300
6. Step 6: Final answer
   x = 104,331.05