Finding the Third Proportional to 864.25 and 1,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   864.25 : 1,833.25 = 1,833.25 : x
2. Step 2: Convert to fraction form
   864.25/1,833.25 = 1,833.25/x
3. Step 3: Cross multiply
   864.25x = 1,833.25 × 1,833.25
4. Step 4: Simplify right side
   864.25x = 3,360,805.56
5. Step 5: Solve for x
   x = 3,360,805.56/864.25
6. Step 6: Final answer
   x = 3,888.70