Finding the Third Proportional to 2,821.50 and 5,842.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,821.50 : 5,842.13 = 5,842.13 : x
2. Step 2: Convert to fraction form
   2,821.50/5,842.13 = 5,842.13/x
3. Step 3: Cross multiply
   2,821.50x = 5,842.13 × 5,842.13
4. Step 4: Simplify right side
   2,821.50x = 34,130,424.52
5. Step 5: Solve for x
   x = 34,130,424.52/2,821.50
6. Step 6: Final answer
   x = 12,096.55