Finding the Third Proportional to 42,094 and 65,676

Step by Step Solution

1. Step 1: Write the proportion equation
   42,094 : 65,676 = 65,676 : x
2. Step 2: Convert to fraction form
   42,094/65,676 = 65,676/x
3. Step 3: Cross multiply
   42,094x = 65,676 × 65,676
4. Step 4: Simplify right side
   42,094x = 4,313,336,976
5. Step 5: Solve for x
   x = 4,313,336,976/42,094
6. Step 6: Final answer
   x = 102,469.16