Finding the Third Proportional to 756 and 969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   756 : 969.50 = 969.50 : x
2. Step 2: Convert to fraction form
   756/969.50 = 969.50/x
3. Step 3: Cross multiply
   756x = 969.50 × 969.50
4. Step 4: Simplify right side
   756x = 939,930.25
5. Step 5: Solve for x
   x = 939,930.25/756
6. Step 6: Final answer
   x = 1,243.29