Finding the Third Proportional to 7,686 and 16,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,686 : 16,585.50 = 16,585.50 : x
2. Step 2: Convert to fraction form
   7,686/16,585.50 = 16,585.50/x
3. Step 3: Cross multiply
   7,686x = 16,585.50 × 16,585.50
4. Step 4: Simplify right side
   7,686x = 275,078,810.25
5. Step 5: Solve for x
   x = 275,078,810.25/7,686
6. Step 6: Final answer
   x = 35,789.59