Finding the Third Proportional to 36,662 and 57,184

Step by Step Solution

1. Step 1: Write the proportion equation
   36,662 : 57,184 = 57,184 : x
2. Step 2: Convert to fraction form
   36,662/57,184 = 57,184/x
3. Step 3: Cross multiply
   36,662x = 57,184 × 57,184
4. Step 4: Simplify right side
   36,662x = 3,270,009,856
5. Step 5: Solve for x
   x = 3,270,009,856/36,662
6. Step 6: Final answer
   x = 89,193.44