Finding the Third Proportional to 41,072 and 65,374

Step by Step Solution

1. Step 1: Write the proportion equation
   41,072 : 65,374 = 65,374 : x
2. Step 2: Convert to fraction form
   41,072/65,374 = 65,374/x
3. Step 3: Cross multiply
   41,072x = 65,374 × 65,374
4. Step 4: Simplify right side
   41,072x = 4,273,759,876
5. Step 5: Solve for x
   x = 4,273,759,876/41,072
6. Step 6: Final answer
   x = 104,055.31