Finding the Third Proportional to 1,886 and 4,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886 : 4,443.50 = 4,443.50 : x
2. Step 2: Convert to fraction form
   1,886/4,443.50 = 4,443.50/x
3. Step 3: Cross multiply
   1,886x = 4,443.50 × 4,443.50
4. Step 4: Simplify right side
   1,886x = 19,744,692.25
5. Step 5: Solve for x
   x = 19,744,692.25/1,886
6. Step 6: Final answer
   x = 10,469.08