Finding the Third Proportional to 36,166 and 55,401

Step by Step Solution

1. Step 1: Write the proportion equation
   36,166 : 55,401 = 55,401 : x
2. Step 2: Convert to fraction form
   36,166/55,401 = 55,401/x
3. Step 3: Cross multiply
   36,166x = 55,401 × 55,401
4. Step 4: Simplify right side
   36,166x = 3,069,270,801
5. Step 5: Solve for x
   x = 3,069,270,801/36,166
6. Step 6: Final answer
   x = 84,866.19