Finding the Third Proportional to 724.50 and 970.59

Step by Step Solution

1. Step 1: Write the proportion equation
   724.50 : 970.59 = 970.59 : x
2. Step 2: Convert to fraction form
   724.50/970.59 = 970.59/x
3. Step 3: Cross multiply
   724.50x = 970.59 × 970.59
4. Step 4: Simplify right side
   724.50x = 942,052.23
5. Step 5: Solve for x
   x = 942,052.23/724.50
6. Step 6: Final answer
   x = 1,300.28