Finding the Third Proportional to 2,843.72 and 5,824.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,843.72 : 5,824.13 = 5,824.13 : x
2. Step 2: Convert to fraction form
   2,843.72/5,824.13 = 5,824.13/x
3. Step 3: Cross multiply
   2,843.72x = 5,824.13 × 5,824.13
4. Step 4: Simplify right side
   2,843.72x = 33,920,432.02
5. Step 5: Solve for x
   x = 33,920,432.02/2,843.72
6. Step 6: Final answer
   x = 11,928.20