Finding the Third Proportional to 11,164 and 12,604

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 12,604 = 12,604 : x
2. Step 2: Convert to fraction form
   11,164/12,604 = 12,604/x
3. Step 3: Cross multiply
   11,164x = 12,604 × 12,604
4. Step 4: Simplify right side
   11,164x = 158,860,816
5. Step 5: Solve for x
   x = 158,860,816/11,164
6. Step 6: Final answer
   x = 14,229.74