Finding the Third Proportional to 9,502 and 13,296

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 13,296 = 13,296 : x
2. Step 2: Convert to fraction form
   9,502/13,296 = 13,296/x
3. Step 3: Cross multiply
   9,502x = 13,296 × 13,296
4. Step 4: Simplify right side
   9,502x = 176,783,616
5. Step 5: Solve for x
   x = 176,783,616/9,502
6. Step 6: Final answer
   x = 18,604.88