Finding the Third Proportional to 40,944 and 86,014

Step by Step Solution

1. Step 1: Write the proportion equation
   40,944 : 86,014 = 86,014 : x
2. Step 2: Convert to fraction form
   40,944/86,014 = 86,014/x
3. Step 3: Cross multiply
   40,944x = 86,014 × 86,014
4. Step 4: Simplify right side
   40,944x = 7,398,408,196
5. Step 5: Solve for x
   x = 7,398,408,196/40,944
6. Step 6: Final answer
   x = 180,695.78