Finding the Third Proportional to 2,386.25 and 5,359.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.25 : 5,359.75 = 5,359.75 : x
2. Step 2: Convert to fraction form
   2,386.25/5,359.75 = 5,359.75/x
3. Step 3: Cross multiply
   2,386.25x = 5,359.75 × 5,359.75
4. Step 4: Simplify right side
   2,386.25x = 28,726,920.06
5. Step 5: Solve for x
   x = 28,726,920.06/2,386.25
6. Step 6: Final answer
   x = 12,038.52