Finding the Third Proportional to 1,821.94 and 2,982.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821.94 : 2,982.56 = 2,982.56 : x
2. Step 2: Convert to fraction form
   1,821.94/2,982.56 = 2,982.56/x
3. Step 3: Cross multiply
   1,821.94x = 2,982.56 × 2,982.56
4. Step 4: Simplify right side
   1,821.94x = 8,895,679.07
5. Step 5: Solve for x
   x = 8,895,679.07/1,821.94
6. Step 6: Final answer
   x = 4,882.54