Finding the Third Proportional to 746 and 969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   746 : 969.50 = 969.50 : x
2. Step 2: Convert to fraction form
   746/969.50 = 969.50/x
3. Step 3: Cross multiply
   746x = 969.50 × 969.50
4. Step 4: Simplify right side
   746x = 939,930.25
5. Step 5: Solve for x
   x = 939,930.25/746
6. Step 6: Final answer
   x = 1,259.96