Finding the Third Proportional to 9,296 and 13,614

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296 : 13,614 = 13,614 : x
2. Step 2: Convert to fraction form
   9,296/13,614 = 13,614/x
3. Step 3: Cross multiply
   9,296x = 13,614 × 13,614
4. Step 4: Simplify right side
   9,296x = 185,340,996
5. Step 5: Solve for x
   x = 185,340,996/9,296
6. Step 6: Final answer
   x = 19,937.71