Finding the Third Proportional to 2,166.31 and 3,295.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.31 : 3,295.06 = 3,295.06 : x
2. Step 2: Convert to fraction form
   2,166.31/3,295.06 = 3,295.06/x
3. Step 3: Cross multiply
   2,166.31x = 3,295.06 × 3,295.06
4. Step 4: Simplify right side
   2,166.31x = 10,857,436.88
5. Step 5: Solve for x
   x = 10,857,436.88/2,166.31
6. Step 6: Final answer
   x = 5,011.94