Finding the Third Proportional to 2,788.41 and 3,823.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788.41 : 3,823.52 = 3,823.52 : x
2. Step 2: Convert to fraction form
   2,788.41/3,823.52 = 3,823.52/x
3. Step 3: Cross multiply
   2,788.41x = 3,823.52 × 3,823.52
4. Step 4: Simplify right side
   2,788.41x = 14,619,331.48
5. Step 5: Solve for x
   x = 14,619,331.48/2,788.41
6. Step 6: Final answer
   x = 5,242.90