Finding the Third Proportional to 18,116 and 37,204

Step by Step Solution

1. Step 1: Write the proportion equation
   18,116 : 37,204 = 37,204 : x
2. Step 2: Convert to fraction form
   18,116/37,204 = 37,204/x
3. Step 3: Cross multiply
   18,116x = 37,204 × 37,204
4. Step 4: Simplify right side
   18,116x = 1,384,137,616
5. Step 5: Solve for x
   x = 1,384,137,616/18,116
6. Step 6: Final answer
   x = 76,404.15