Finding the Third Proportional to 13,766 and 30,171

Step by Step Solution

1. Step 1: Write the proportion equation
   13,766 : 30,171 = 30,171 : x
2. Step 2: Convert to fraction form
   13,766/30,171 = 30,171/x
3. Step 3: Cross multiply
   13,766x = 30,171 × 30,171
4. Step 4: Simplify right side
   13,766x = 910,289,241
5. Step 5: Solve for x
   x = 910,289,241/13,766
6. Step 6: Final answer
   x = 66,125.91