Finding the Third Proportional to 40,940 and 86,006

Step by Step Solution

1. Step 1: Write the proportion equation
   40,940 : 86,006 = 86,006 : x
2. Step 2: Convert to fraction form
   40,940/86,006 = 86,006/x
3. Step 3: Cross multiply
   40,940x = 86,006 × 86,006
4. Step 4: Simplify right side
   40,940x = 7,397,032,036
5. Step 5: Solve for x
   x = 7,397,032,036/40,940
6. Step 6: Final answer
   x = 180,679.83