Finding the Third Proportional to 10,760 and 23,171

Step by Step Solution

1. Step 1: Write the proportion equation
   10,760 : 23,171 = 23,171 : x
2. Step 2: Convert to fraction form
   10,760/23,171 = 23,171/x
3. Step 3: Cross multiply
   10,760x = 23,171 × 23,171
4. Step 4: Simplify right side
   10,760x = 536,895,241
5. Step 5: Solve for x
   x = 536,895,241/10,760
6. Step 6: Final answer
   x = 49,897.33