Finding the Third Proportional to 40,184 and 57,404

Step by Step Solution

1. Step 1: Write the proportion equation
   40,184 : 57,404 = 57,404 : x
2. Step 2: Convert to fraction form
   40,184/57,404 = 57,404/x
3. Step 3: Cross multiply
   40,184x = 57,404 × 57,404
4. Step 4: Simplify right side
   40,184x = 3,295,219,216
5. Step 5: Solve for x
   x = 3,295,219,216/40,184
6. Step 6: Final answer
   x = 82,003.27