Finding the Third Proportional to 864.50 and 1,822

Step by Step Solution

1. Step 1: Write the proportion equation
   864.50 : 1,822 = 1,822 : x
2. Step 2: Convert to fraction form
   864.50/1,822 = 1,822/x
3. Step 3: Cross multiply
   864.50x = 1,822 × 1,822
4. Step 4: Simplify right side
   864.50x = 3,319,684
5. Step 5: Solve for x
   x = 3,319,684/864.50
6. Step 6: Final answer
   x = 3,840.00