Finding the Third Proportional to 609.50 and 1,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   609.50 : 1,314.50 = 1,314.50 : x
2. Step 2: Convert to fraction form
   609.50/1,314.50 = 1,314.50/x
3. Step 3: Cross multiply
   609.50x = 1,314.50 × 1,314.50
4. Step 4: Simplify right side
   609.50x = 1,727,910.25
5. Step 5: Solve for x
   x = 1,727,910.25/609.50
6. Step 6: Final answer
   x = 2,834.96