Finding the Third Proportional to 2,007.38 and 4,835.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.38 : 4,835.25 = 4,835.25 : x
2. Step 2: Convert to fraction form
   2,007.38/4,835.25 = 4,835.25/x
3. Step 3: Cross multiply
   2,007.38x = 4,835.25 × 4,835.25
4. Step 4: Simplify right side
   2,007.38x = 23,379,642.56
5. Step 5: Solve for x
   x = 23,379,642.56/2,007.38
6. Step 6: Final answer
   x = 11,646.87