Finding the Third Proportional to 40,409 and 86,002

Step by Step Solution

1. Step 1: Write the proportion equation
   40,409 : 86,002 = 86,002 : x
2. Step 2: Convert to fraction form
   40,409/86,002 = 86,002/x
3. Step 3: Cross multiply
   40,409x = 86,002 × 86,002
4. Step 4: Simplify right side
   40,409x = 7,396,344,004
5. Step 5: Solve for x
   x = 7,396,344,004/40,409
6. Step 6: Final answer
   x = 183,037.05