Finding the Third Proportional to 1,584.56 and 3,461.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.56 : 3,461.91 = 3,461.91 : x
2. Step 2: Convert to fraction form
   1,584.56/3,461.91 = 3,461.91/x
3. Step 3: Cross multiply
   1,584.56x = 3,461.91 × 3,461.91
4. Step 4: Simplify right side
   1,584.56x = 11,984,794.88
5. Step 5: Solve for x
   x = 11,984,794.88/1,584.56
6. Step 6: Final answer
   x = 7,563.47