Finding the Third Proportional to 1,558.22 and 3,409.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,558.22 : 3,409.69 = 3,409.69 : x
2. Step 2: Convert to fraction form
   1,558.22/3,409.69 = 3,409.69/x
3. Step 3: Cross multiply
   1,558.22x = 3,409.69 × 3,409.69
4. Step 4: Simplify right side
   1,558.22x = 11,625,968.85
5. Step 5: Solve for x
   x = 11,625,968.85/1,558.22
6. Step 6: Final answer
   x = 7,461.06