Finding the Third Proportional to 2,120.77 and 2,788.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.77 : 2,788.59 = 2,788.59 : x
2. Step 2: Convert to fraction form
   2,120.77/2,788.59 = 2,788.59/x
3. Step 3: Cross multiply
   2,120.77x = 2,788.59 × 2,788.59
4. Step 4: Simplify right side
   2,120.77x = 7,776,255.10
5. Step 5: Solve for x
   x = 7,776,255.10/2,120.77
6. Step 6: Final answer
   x = 3,666.72