Finding the Third Proportional to 2,734 and 5,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,734 : 5,856.50 = 5,856.50 : x
2. Step 2: Convert to fraction form
   2,734/5,856.50 = 5,856.50/x
3. Step 3: Cross multiply
   2,734x = 5,856.50 × 5,856.50
4. Step 4: Simplify right side
   2,734x = 34,298,592.25
5. Step 5: Solve for x
   x = 34,298,592.25/2,734
6. Step 6: Final answer
   x = 12,545.21