Finding the Third Proportional to 4,215.38 and 9,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,215.38 : 9,105.75 = 9,105.75 : x
2. Step 2: Convert to fraction form
   4,215.38/9,105.75 = 9,105.75/x
3. Step 3: Cross multiply
   4,215.38x = 9,105.75 × 9,105.75
4. Step 4: Simplify right side
   4,215.38x = 82,914,683.06
5. Step 5: Solve for x
   x = 82,914,683.06/4,215.38
6. Step 6: Final answer
   x = 19,669.59