Finding the Third Proportional to 2,166.94 and 3,265.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.94 : 3,265.69 = 3,265.69 : x
2. Step 2: Convert to fraction form
   2,166.94/3,265.69 = 3,265.69/x
3. Step 3: Cross multiply
   2,166.94x = 3,265.69 × 3,265.69
4. Step 4: Simplify right side
   2,166.94x = 10,664,714.85
5. Step 5: Solve for x
   x = 10,664,714.85/2,166.94
6. Step 6: Final answer
   x = 4,921.56