Finding the Third Proportional to 2,092.54 and 3,165.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.54 : 3,165.80 = 3,165.80 : x
2. Step 2: Convert to fraction form
   2,092.54/3,165.80 = 3,165.80/x
3. Step 3: Cross multiply
   2,092.54x = 3,165.80 × 3,165.80
4. Step 4: Simplify right side
   2,092.54x = 10,022,306.95
5. Step 5: Solve for x
   x = 10,022,306.95/2,092.54
6. Step 6: Final answer
   x = 4,789.55