Finding the Third Proportional to 823.50 and 2,016

Step by Step Solution

1. Step 1: Write the proportion equation
   823.50 : 2,016 = 2,016 : x
2. Step 2: Convert to fraction form
   823.50/2,016 = 2,016/x
3. Step 3: Cross multiply
   823.50x = 2,016 × 2,016
4. Step 4: Simplify right side
   823.50x = 4,064,256
5. Step 5: Solve for x
   x = 4,064,256/823.50
6. Step 6: Final answer
   x = 4,935.34