Finding the Third Proportional to 40,004 and 86,164

Step by Step Solution

1. Step 1: Write the proportion equation
   40,004 : 86,164 = 86,164 : x
2. Step 2: Convert to fraction form
   40,004/86,164 = 86,164/x
3. Step 3: Cross multiply
   40,004x = 86,164 × 86,164
4. Step 4: Simplify right side
   40,004x = 7,424,234,896
5. Step 5: Solve for x
   x = 7,424,234,896/40,004
6. Step 6: Final answer
   x = 185,587.31