Finding the Third Proportional to 10,114 and 22,171

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 22,171 = 22,171 : x
2. Step 2: Convert to fraction form
   10,114/22,171 = 22,171/x
3. Step 3: Cross multiply
   10,114x = 22,171 × 22,171
4. Step 4: Simplify right side
   10,114x = 491,553,241
5. Step 5: Solve for x
   x = 491,553,241/10,114
6. Step 6: Final answer
   x = 48,601.27