Finding the Third Proportional to 18,147 and 37,832

Step by Step Solution

1. Step 1: Write the proportion equation
   18,147 : 37,832 = 37,832 : x
2. Step 2: Convert to fraction form
   18,147/37,832 = 37,832/x
3. Step 3: Cross multiply
   18,147x = 37,832 × 37,832
4. Step 4: Simplify right side
   18,147x = 1,431,260,224
5. Step 5: Solve for x
   x = 1,431,260,224/18,147
6. Step 6: Final answer
   x = 78,870.35