Finding the Third Proportional to 18,846 and 37,218

Step by Step Solution

1. Step 1: Write the proportion equation
   18,846 : 37,218 = 37,218 : x
2. Step 2: Convert to fraction form
   18,846/37,218 = 37,218/x
3. Step 3: Cross multiply
   18,846x = 37,218 × 37,218
4. Step 4: Simplify right side
   18,846x = 1,385,179,524
5. Step 5: Solve for x
   x = 1,385,179,524/18,846
6. Step 6: Final answer
   x = 73,499.92