Finding the Third Proportional to 2,864.25 and 5,820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864.25 : 5,820.75 = 5,820.75 : x
2. Step 2: Convert to fraction form
   2,864.25/5,820.75 = 5,820.75/x
3. Step 3: Cross multiply
   2,864.25x = 5,820.75 × 5,820.75
4. Step 4: Simplify right side
   2,864.25x = 33,881,130.56
5. Step 5: Solve for x
   x = 33,881,130.56/2,864.25
6. Step 6: Final answer
   x = 11,828.97