Finding the Third Proportional to 2,055.80 and 3,006.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.80 : 3,006.56 = 3,006.56 : x
2. Step 2: Convert to fraction form
   2,055.80/3,006.56 = 3,006.56/x
3. Step 3: Cross multiply
   2,055.80x = 3,006.56 × 3,006.56
4. Step 4: Simplify right side
   2,055.80x = 9,039,418.07
5. Step 5: Solve for x
   x = 9,039,418.07/2,055.80
6. Step 6: Final answer
   x = 4,397.04