Finding the Third Proportional to 9,296 and 13,620

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296 : 13,620 = 13,620 : x
2. Step 2: Convert to fraction form
   9,296/13,620 = 13,620/x
3. Step 3: Cross multiply
   9,296x = 13,620 × 13,620
4. Step 4: Simplify right side
   9,296x = 185,504,400
5. Step 5: Solve for x
   x = 185,504,400/9,296
6. Step 6: Final answer
   x = 19,955.29