Finding the Third Proportional to 41,072 and 86,436

Step by Step Solution

1. Step 1: Write the proportion equation
   41,072 : 86,436 = 86,436 : x
2. Step 2: Convert to fraction form
   41,072/86,436 = 86,436/x
3. Step 3: Cross multiply
   41,072x = 86,436 × 86,436
4. Step 4: Simplify right side
   41,072x = 7,471,182,096
5. Step 5: Solve for x
   x = 7,471,182,096/41,072
6. Step 6: Final answer
   x = 181,904.51