Finding the Third Proportional to 846.50 and 1,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   846.50 : 1,855.50 = 1,855.50 : x
2. Step 2: Convert to fraction form
   846.50/1,855.50 = 1,855.50/x
3. Step 3: Cross multiply
   846.50x = 1,855.50 × 1,855.50
4. Step 4: Simplify right side
   846.50x = 3,442,880.25
5. Step 5: Solve for x
   x = 3,442,880.25/846.50
6. Step 6: Final answer
   x = 4,067.19