Finding the Third Proportional to 1,586.95 and 3,481.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.95 : 3,481.59 = 3,481.59 : x
2. Step 2: Convert to fraction form
   1,586.95/3,481.59 = 3,481.59/x
3. Step 3: Cross multiply
   1,586.95x = 3,481.59 × 3,481.59
4. Step 4: Simplify right side
   1,586.95x = 12,121,495.04
5. Step 5: Solve for x
   x = 12,121,495.04/1,586.95
6. Step 6: Final answer
   x = 7,638.22