Finding the Third Proportional to 1,686.94 and 4,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.94 : 4,016.25 = 4,016.25 : x
2. Step 2: Convert to fraction form
   1,686.94/4,016.25 = 4,016.25/x
3. Step 3: Cross multiply
   1,686.94x = 4,016.25 × 4,016.25
4. Step 4: Simplify right side
   1,686.94x = 16,130,264.06
5. Step 5: Solve for x
   x = 16,130,264.06/1,686.94
6. Step 6: Final answer
   x = 9,561.86