Finding the Third Proportional to 1,779.33 and 2,764.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,779.33 : 2,764.55 = 2,764.55 : x
2. Step 2: Convert to fraction form
   1,779.33/2,764.55 = 2,764.55/x
3. Step 3: Cross multiply
   1,779.33x = 2,764.55 × 2,764.55
4. Step 4: Simplify right side
   1,779.33x = 7,642,719.42
5. Step 5: Solve for x
   x = 7,642,719.42/1,779.33
6. Step 6: Final answer
   x = 4,295.28