Finding the Third Proportional to 836 and 1,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   836 : 1,833.50 = 1,833.50 : x
2. Step 2: Convert to fraction form
   836/1,833.50 = 1,833.50/x
3. Step 3: Cross multiply
   836x = 1,833.50 × 1,833.50
4. Step 4: Simplify right side
   836x = 3,361,722.25
5. Step 5: Solve for x
   x = 3,361,722.25/836
6. Step 6: Final answer
   x = 4,021.20