Finding the Third Proportional to 1,778.91 and 3,886.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.91 : 3,886.59 = 3,886.59 : x
2. Step 2: Convert to fraction form
   1,778.91/3,886.59 = 3,886.59/x
3. Step 3: Cross multiply
   1,778.91x = 3,886.59 × 3,886.59
4. Step 4: Simplify right side
   1,778.91x = 15,105,610.98
5. Step 5: Solve for x
   x = 15,105,610.98/1,778.91
6. Step 6: Final answer
   x = 8,491.52