Finding the Third Proportional to 6,164.50 and 9,105

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.50 : 9,105 = 9,105 : x
2. Step 2: Convert to fraction form
   6,164.50/9,105 = 9,105/x
3. Step 3: Cross multiply
   6,164.50x = 9,105 × 9,105
4. Step 4: Simplify right side
   6,164.50x = 82,901,025
5. Step 5: Solve for x
   x = 82,901,025/6,164.50
6. Step 6: Final answer
   x = 13,448.13