Finding the Third Proportional to 37,082 and 55,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082 : 55,204 = 55,204 : x
2. Step 2: Convert to fraction form
   37,082/55,204 = 55,204/x
3. Step 3: Cross multiply
   37,082x = 55,204 × 55,204
4. Step 4: Simplify right side
   37,082x = 3,047,481,616
5. Step 5: Solve for x
   x = 3,047,481,616/37,082
6. Step 6: Final answer
   x = 82,182.23