Finding the Third Proportional to 8,123 and 17,767

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123 : 17,767 = 17,767 : x
2. Step 2: Convert to fraction form
   8,123/17,767 = 17,767/x
3. Step 3: Cross multiply
   8,123x = 17,767 × 17,767
4. Step 4: Simplify right side
   8,123x = 315,666,289
5. Step 5: Solve for x
   x = 315,666,289/8,123
6. Step 6: Final answer
   x = 38,860.80