Finding the Third Proportional to 1,586.81 and 3,276.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.81 : 3,276.56 = 3,276.56 : x
2. Step 2: Convert to fraction form
   1,586.81/3,276.56 = 3,276.56/x
3. Step 3: Cross multiply
   1,586.81x = 3,276.56 × 3,276.56
4. Step 4: Simplify right side
   1,586.81x = 10,735,861.82
5. Step 5: Solve for x
   x = 10,735,861.82/1,586.81
6. Step 6: Final answer
   x = 6,765.68