Finding the Third Proportional to 683.50 and 1,012

Step by Step Solution

1. Step 1: Write the proportion equation
   683.50 : 1,012 = 1,012 : x
2. Step 2: Convert to fraction form
   683.50/1,012 = 1,012/x
3. Step 3: Cross multiply
   683.50x = 1,012 × 1,012
4. Step 4: Simplify right side
   683.50x = 1,024,144
5. Step 5: Solve for x
   x = 1,024,144/683.50
6. Step 6: Final answer
   x = 1,498.38