Finding the Third Proportional to 1,736.50 and 4,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.50 : 4,016.50 = 4,016.50 : x
2. Step 2: Convert to fraction form
   1,736.50/4,016.50 = 4,016.50/x
3. Step 3: Cross multiply
   1,736.50x = 4,016.50 × 4,016.50
4. Step 4: Simplify right side
   1,736.50x = 16,132,272.25
5. Step 5: Solve for x
   x = 16,132,272.25/1,736.50
6. Step 6: Final answer
   x = 9,290.11