Finding the Third Proportional to 2,092.83 and 2,842.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.83 : 2,842.31 = 2,842.31 : x
2. Step 2: Convert to fraction form
   2,092.83/2,842.31 = 2,842.31/x
3. Step 3: Cross multiply
   2,092.83x = 2,842.31 × 2,842.31
4. Step 4: Simplify right side
   2,092.83x = 8,078,740.35
5. Step 5: Solve for x
   x = 8,078,740.35/2,092.83
6. Step 6: Final answer
   x = 3,860.20