Finding the Third Proportional to 36,820 and 55,179

Step by Step Solution

1. Step 1: Write the proportion equation
   36,820 : 55,179 = 55,179 : x
2. Step 2: Convert to fraction form
   36,820/55,179 = 55,179/x
3. Step 3: Cross multiply
   36,820x = 55,179 × 55,179
4. Step 4: Simplify right side
   36,820x = 3,044,722,041
5. Step 5: Solve for x
   x = 3,044,722,041/36,820
6. Step 6: Final answer
   x = 82,692.07