Finding the Third Proportional to 834 and 1,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   834 : 1,798.50 = 1,798.50 : x
2. Step 2: Convert to fraction form
   834/1,798.50 = 1,798.50/x
3. Step 3: Cross multiply
   834x = 1,798.50 × 1,798.50
4. Step 4: Simplify right side
   834x = 3,234,602.25
5. Step 5: Solve for x
   x = 3,234,602.25/834
6. Step 6: Final answer
   x = 3,878.42