Finding the Third Proportional to 18,206 and 37,114

Step by Step Solution

1. Step 1: Write the proportion equation
   18,206 : 37,114 = 37,114 : x
2. Step 2: Convert to fraction form
   18,206/37,114 = 37,114/x
3. Step 3: Cross multiply
   18,206x = 37,114 × 37,114
4. Step 4: Simplify right side
   18,206x = 1,377,448,996
5. Step 5: Solve for x
   x = 1,377,448,996/18,206
6. Step 6: Final answer
   x = 75,659.07