Finding the Third Proportional to 4,658.75 and 7,150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,658.75 : 7,150.38 = 7,150.38 : x
2. Step 2: Convert to fraction form
   4,658.75/7,150.38 = 7,150.38/x
3. Step 3: Cross multiply
   4,658.75x = 7,150.38 × 7,150.38
4. Step 4: Simplify right side
   4,658.75x = 51,127,862.64
5. Step 5: Solve for x
   x = 51,127,862.64/4,658.75
6. Step 6: Final answer
   x = 10,974.59