Finding the Third Proportional to 1,586.46 and 3,466.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.46 : 3,466.55 = 3,466.55 : x
2. Step 2: Convert to fraction form
   1,586.46/3,466.55 = 3,466.55/x
3. Step 3: Cross multiply
   1,586.46x = 3,466.55 × 3,466.55
4. Step 4: Simplify right side
   1,586.46x = 12,016,947.24
5. Step 5: Solve for x
   x = 12,016,947.24/1,586.46
6. Step 6: Final answer
   x = 7,574.69