Finding the Third Proportional to 760 and 1,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   760 : 1,223.50 = 1,223.50 : x
2. Step 2: Convert to fraction form
   760/1,223.50 = 1,223.50/x
3. Step 3: Cross multiply
   760x = 1,223.50 × 1,223.50
4. Step 4: Simplify right side
   760x = 1,496,952.25
5. Step 5: Solve for x
   x = 1,496,952.25/760
6. Step 6: Final answer
   x = 1,969.67