Finding the Third Proportional to 727.50 and 970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   727.50 : 970.50 = 970.50 : x
2. Step 2: Convert to fraction form
   727.50/970.50 = 970.50/x
3. Step 3: Cross multiply
   727.50x = 970.50 × 970.50
4. Step 4: Simplify right side
   727.50x = 941,870.25
5. Step 5: Solve for x
   x = 941,870.25/727.50
6. Step 6: Final answer
   x = 1,294.67