Finding the Third Proportional to 40,947 and 86,816

Step by Step Solution

1. Step 1: Write the proportion equation
   40,947 : 86,816 = 86,816 : x
2. Step 2: Convert to fraction form
   40,947/86,816 = 86,816/x
3. Step 3: Cross multiply
   40,947x = 86,816 × 86,816
4. Step 4: Simplify right side
   40,947x = 7,537,017,856
5. Step 5: Solve for x
   x = 7,537,017,856/40,947
6. Step 6: Final answer
   x = 184,067.64