Finding the Third Proportional to 704.50 and 764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   704.50 : 764.50 = 764.50 : x
2. Step 2: Convert to fraction form
   704.50/764.50 = 764.50/x
3. Step 3: Cross multiply
   704.50x = 764.50 × 764.50
4. Step 4: Simplify right side
   704.50x = 584,460.25
5. Step 5: Solve for x
   x = 584,460.25/704.50
6. Step 6: Final answer
   x = 829.61