Finding the Third Proportional to 1,435.22 and 3,166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.22 : 3,166.59 = 3,166.59 : x
2. Step 2: Convert to fraction form
   1,435.22/3,166.59 = 3,166.59/x
3. Step 3: Cross multiply
   1,435.22x = 3,166.59 × 3,166.59
4. Step 4: Simplify right side
   1,435.22x = 10,027,315.98
5. Step 5: Solve for x
   x = 10,027,315.98/1,435.22
6. Step 6: Final answer
   x = 6,986.61