Finding the Third Proportional to 674.50 and 767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   674.50 : 767.50 = 767.50 : x
2. Step 2: Convert to fraction form
   674.50/767.50 = 767.50/x
3. Step 3: Cross multiply
   674.50x = 767.50 × 767.50
4. Step 4: Simplify right side
   674.50x = 589,056.25
5. Step 5: Solve for x
   x = 589,056.25/674.50
6. Step 6: Final answer
   x = 873.32