Finding the Third Proportional to 613.50 and 819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   613.50 : 819.25 = 819.25 : x
2. Step 2: Convert to fraction form
   613.50/819.25 = 819.25/x
3. Step 3: Cross multiply
   613.50x = 819.25 × 819.25
4. Step 4: Simplify right side
   613.50x = 671,170.56
5. Step 5: Solve for x
   x = 671,170.56/613.50
6. Step 6: Final answer
   x = 1,094.00