Finding the Third Proportional to 36,960 and 89,108

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 89,108 = 89,108 : x
2. Step 2: Convert to fraction form
   36,960/89,108 = 89,108/x
3. Step 3: Cross multiply
   36,960x = 89,108 × 89,108
4. Step 4: Simplify right side
   36,960x = 7,940,235,664
5. Step 5: Solve for x
   x = 7,940,235,664/36,960
6. Step 6: Final answer
   x = 214,833.22