Finding the Third Proportional to 36,950 and 89,084

Step by Step Solution

1. Step 1: Write the proportion equation
   36,950 : 89,084 = 89,084 : x
2. Step 2: Convert to fraction form
   36,950/89,084 = 89,084/x
3. Step 3: Cross multiply
   36,950x = 89,084 × 89,084
4. Step 4: Simplify right side
   36,950x = 7,935,959,056
5. Step 5: Solve for x
   x = 7,935,959,056/36,950
6. Step 6: Final answer
   x = 214,775.62