Finding the Third Proportional to 42,255 and 65,805

Step by Step Solution

1. Step 1: Write the proportion equation
   42,255 : 65,805 = 65,805 : x
2. Step 2: Convert to fraction form
   42,255/65,805 = 65,805/x
3. Step 3: Cross multiply
   42,255x = 65,805 × 65,805
4. Step 4: Simplify right side
   42,255x = 4,330,298,025
5. Step 5: Solve for x
   x = 4,330,298,025/42,255
6. Step 6: Final answer
   x = 102,480.13