Finding the Third Proportional to 3,166.59 and 6,555.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,166.59 : 6,555.30 = 6,555.30 : x
2. Step 2: Convert to fraction form
   3,166.59/6,555.30 = 6,555.30/x
3. Step 3: Cross multiply
   3,166.59x = 6,555.30 × 6,555.30
4. Step 4: Simplify right side
   3,166.59x = 42,972,019.55
5. Step 5: Solve for x
   x = 42,972,019.55/3,166.59
6. Step 6: Final answer
   x = 13,570.42