Finding the Third Proportional to 9,123 and 18,571

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123 : 18,571 = 18,571 : x
2. Step 2: Convert to fraction form
   9,123/18,571 = 18,571/x
3. Step 3: Cross multiply
   9,123x = 18,571 × 18,571
4. Step 4: Simplify right side
   9,123x = 344,882,041
5. Step 5: Solve for x
   x = 344,882,041/9,123
6. Step 6: Final answer
   x = 37,803.58