Finding the Third Proportional to 41,804 and 65,480

Step by Step Solution

1. Step 1: Write the proportion equation
   41,804 : 65,480 = 65,480 : x
2. Step 2: Convert to fraction form
   41,804/65,480 = 65,480/x
3. Step 3: Cross multiply
   41,804x = 65,480 × 65,480
4. Step 4: Simplify right side
   41,804x = 4,287,630,400
5. Step 5: Solve for x
   x = 4,287,630,400/41,804
6. Step 6: Final answer
   x = 102,565.08