Finding the Third Proportional to 7,164 and 10,905

Step by Step Solution

1. Step 1: Write the proportion equation
   7,164 : 10,905 = 10,905 : x
2. Step 2: Convert to fraction form
   7,164/10,905 = 10,905/x
3. Step 3: Cross multiply
   7,164x = 10,905 × 10,905
4. Step 4: Simplify right side
   7,164x = 118,919,025
5. Step 5: Solve for x
   x = 118,919,025/7,164
6. Step 6: Final answer
   x = 16,599.53