Finding the Third Proportional to 9,570 and 13,914

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 13,914 = 13,914 : x
2. Step 2: Convert to fraction form
   9,570/13,914 = 13,914/x
3. Step 3: Cross multiply
   9,570x = 13,914 × 13,914
4. Step 4: Simplify right side
   9,570x = 193,599,396
5. Step 5: Solve for x
   x = 193,599,396/9,570
6. Step 6: Final answer
   x = 20,229.82