Finding the Third Proportional to 1,606.50 and 3,866.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.50 : 3,866.63 = 3,866.63 : x
2. Step 2: Convert to fraction form
   1,606.50/3,866.63 = 3,866.63/x
3. Step 3: Cross multiply
   1,606.50x = 3,866.63 × 3,866.63
4. Step 4: Simplify right side
   1,606.50x = 14,950,788.89
5. Step 5: Solve for x
   x = 14,950,788.89/1,606.50
6. Step 6: Final answer
   x = 9,306.44