Finding the Third Proportional to 1,855.41 and 3,828.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.41 : 3,828.52 = 3,828.52 : x
2. Step 2: Convert to fraction form
   1,855.41/3,828.52 = 3,828.52/x
3. Step 3: Cross multiply
   1,855.41x = 3,828.52 × 3,828.52
4. Step 4: Simplify right side
   1,855.41x = 14,657,531.89
5. Step 5: Solve for x
   x = 14,657,531.89/1,855.41
6. Step 6: Final answer
   x = 7,899.90