Finding the Third Proportional to 11,172 and 12,804

Step by Step Solution

1. Step 1: Write the proportion equation
   11,172 : 12,804 = 12,804 : x
2. Step 2: Convert to fraction form
   11,172/12,804 = 12,804/x
3. Step 3: Cross multiply
   11,172x = 12,804 × 12,804
4. Step 4: Simplify right side
   11,172x = 163,942,416
5. Step 5: Solve for x
   x = 163,942,416/11,172
6. Step 6: Final answer
   x = 14,674.40