Finding the Third Proportional to 613.50 and 828.38

Step by Step Solution

1. Step 1: Write the proportion equation
   613.50 : 828.38 = 828.38 : x
2. Step 2: Convert to fraction form
   613.50/828.38 = 828.38/x
3. Step 3: Cross multiply
   613.50x = 828.38 × 828.38
4. Step 4: Simplify right side
   613.50x = 686,205.14
5. Step 5: Solve for x
   x = 686,205.14/613.50
6. Step 6: Final answer
   x = 1,118.51