Finding the Third Proportional to 10,563 and 12,171

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563 : 12,171 = 12,171 : x
2. Step 2: Convert to fraction form
   10,563/12,171 = 12,171/x
3. Step 3: Cross multiply
   10,563x = 12,171 × 12,171
4. Step 4: Simplify right side
   10,563x = 148,133,241
5. Step 5: Solve for x
   x = 148,133,241/10,563
6. Step 6: Final answer
   x = 14,023.79