Finding the Third Proportional to 2,595.38 and 4,055.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.38 : 4,055.06 = 4,055.06 : x
2. Step 2: Convert to fraction form
   2,595.38/4,055.06 = 4,055.06/x
3. Step 3: Cross multiply
   2,595.38x = 4,055.06 × 4,055.06
4. Step 4: Simplify right side
   2,595.38x = 16,443,531.88
5. Step 5: Solve for x
   x = 16,443,531.88/2,595.38
6. Step 6: Final answer
   x = 6,335.71