Finding the Third Proportional to 2,823.19 and 5,881.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.19 : 5,881.78 = 5,881.78 : x
2. Step 2: Convert to fraction form
   2,823.19/5,881.78 = 5,881.78/x
3. Step 3: Cross multiply
   2,823.19x = 5,881.78 × 5,881.78
4. Step 4: Simplify right side
   2,823.19x = 34,595,350.67
5. Step 5: Solve for x
   x = 34,595,350.67/2,823.19
6. Step 6: Final answer
   x = 12,254.00