Finding the Third Proportional to 2,386.13 and 5,757.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.13 : 5,757.75 = 5,757.75 : x
2. Step 2: Convert to fraction form
   2,386.13/5,757.75 = 5,757.75/x
3. Step 3: Cross multiply
   2,386.13x = 5,757.75 × 5,757.75
4. Step 4: Simplify right side
   2,386.13x = 33,151,685.06
5. Step 5: Solve for x
   x = 33,151,685.06/2,386.13
6. Step 6: Final answer
   x = 13,893.52