Finding the Third Proportional to 856 and 1,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   856 : 1,734.50 = 1,734.50 : x
2. Step 2: Convert to fraction form
   856/1,734.50 = 1,734.50/x
3. Step 3: Cross multiply
   856x = 1,734.50 × 1,734.50
4. Step 4: Simplify right side
   856x = 3,008,490.25
5. Step 5: Solve for x
   x = 3,008,490.25/856
6. Step 6: Final answer
   x = 3,514.59