Finding the Third Proportional to 36,678 and 55,099

Step by Step Solution

1. Step 1: Write the proportion equation
   36,678 : 55,099 = 55,099 : x
2. Step 2: Convert to fraction form
   36,678/55,099 = 55,099/x
3. Step 3: Cross multiply
   36,678x = 55,099 × 55,099
4. Step 4: Simplify right side
   36,678x = 3,035,899,801
5. Step 5: Solve for x
   x = 3,035,899,801/36,678
6. Step 6: Final answer
   x = 82,771.68