Finding the Third Proportional to 1,638.56 and 3,866.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.56 : 3,866.63 = 3,866.63 : x
2. Step 2: Convert to fraction form
   1,638.56/3,866.63 = 3,866.63/x
3. Step 3: Cross multiply
   1,638.56x = 3,866.63 × 3,866.63
4. Step 4: Simplify right side
   1,638.56x = 14,950,788.89
5. Step 5: Solve for x
   x = 14,950,788.89/1,638.56
6. Step 6: Final answer
   x = 9,124.33