Finding the Third Proportional to 3,166.31 and 3,645.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,166.31 : 3,645.56 = 3,645.56 : x
2. Step 2: Convert to fraction form
   3,166.31/3,645.56 = 3,645.56/x
3. Step 3: Cross multiply
   3,166.31x = 3,645.56 × 3,645.56
4. Step 4: Simplify right side
   3,166.31x = 13,290,125.94
5. Step 5: Solve for x
   x = 13,290,125.94/3,166.31
6. Step 6: Final answer
   x = 4,197.35