Finding the Third Proportional to 2,788.09 and 3,784.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788.09 : 3,784.77 = 3,784.77 : x
2. Step 2: Convert to fraction form
   2,788.09/3,784.77 = 3,784.77/x
3. Step 3: Cross multiply
   2,788.09x = 3,784.77 × 3,784.77
4. Step 4: Simplify right side
   2,788.09x = 14,324,502.58
5. Step 5: Solve for x
   x = 14,324,502.58/2,788.09
6. Step 6: Final answer
   x = 5,137.74