Finding the Third Proportional to 3,948.75 and 9,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,948.75 : 9,165.38 = 9,165.38 : x
2. Step 2: Convert to fraction form
   3,948.75/9,165.38 = 9,165.38/x
3. Step 3: Cross multiply
   3,948.75x = 9,165.38 × 9,165.38
4. Step 4: Simplify right side
   3,948.75x = 84,004,098.89
5. Step 5: Solve for x
   x = 84,004,098.89/3,948.75
6. Step 6: Final answer
   x = 21,273.59