Finding the Third Proportional to 1,853.82 and 2,883.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.82 : 2,883.25 = 2,883.25 : x
2. Step 2: Convert to fraction form
   1,853.82/2,883.25 = 2,883.25/x
3. Step 3: Cross multiply
   1,853.82x = 2,883.25 × 2,883.25
4. Step 4: Simplify right side
   1,853.82x = 8,313,141.83
5. Step 5: Solve for x
   x = 8,313,141.83/1,853.82
6. Step 6: Final answer
   x = 4,484.32