Finding the Third Proportional to 36,757 and 55,185

Step by Step Solution

1. Step 1: Write the proportion equation
   36,757 : 55,185 = 55,185 : x
2. Step 2: Convert to fraction form
   36,757/55,185 = 55,185/x
3. Step 3: Cross multiply
   36,757x = 55,185 × 55,185
4. Step 4: Simplify right side
   36,757x = 3,045,384,225
5. Step 5: Solve for x
   x = 3,045,384,225/36,757
6. Step 6: Final answer
   x = 82,851.82