Finding the Third Proportional to 40,034 and 86,253

Step by Step Solution

1. Step 1: Write the proportion equation
   40,034 : 86,253 = 86,253 : x
2. Step 2: Convert to fraction form
   40,034/86,253 = 86,253/x
3. Step 3: Cross multiply
   40,034x = 86,253 × 86,253
4. Step 4: Simplify right side
   40,034x = 7,439,580,009
5. Step 5: Solve for x
   x = 7,439,580,009/40,034
6. Step 6: Final answer
   x = 185,831.54