Finding the Third Proportional to 2,084.91 and 3,169.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.91 : 3,169.55 = 3,169.55 : x
2. Step 2: Convert to fraction form
   2,084.91/3,169.55 = 3,169.55/x
3. Step 3: Cross multiply
   2,084.91x = 3,169.55 × 3,169.55
4. Step 4: Simplify right side
   2,084.91x = 10,046,027.39
5. Step 5: Solve for x
   x = 10,046,027.39/2,084.91
6. Step 6: Final answer
   x = 4,818.46