Finding the Third Proportional to 684.19 and 1,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   684.19 : 1,016.25 = 1,016.25 : x
2. Step 2: Convert to fraction form
   684.19/1,016.25 = 1,016.25/x
3. Step 3: Cross multiply
   684.19x = 1,016.25 × 1,016.25
4. Step 4: Simplify right side
   684.19x = 1,032,764.06
5. Step 5: Solve for x
   x = 1,032,764.06/684.19
6. Step 6: Final answer
   x = 1,509.48