Finding the Third Proportional to 36,676 and 55,096

Step by Step Solution

1. Step 1: Write the proportion equation
   36,676 : 55,096 = 55,096 : x
2. Step 2: Convert to fraction form
   36,676/55,096 = 55,096/x
3. Step 3: Cross multiply
   36,676x = 55,096 × 55,096
4. Step 4: Simplify right side
   36,676x = 3,035,569,216
5. Step 5: Solve for x
   x = 3,035,569,216/36,676
6. Step 6: Final answer
   x = 82,767.18