Finding the Third Proportional to 724.78 and 1,960.03

Step by Step Solution

1. Step 1: Write the proportion equation
   724.78 : 1,960.03 = 1,960.03 : x
2. Step 2: Convert to fraction form
   724.78/1,960.03 = 1,960.03/x
3. Step 3: Cross multiply
   724.78x = 1,960.03 × 1,960.03
4. Step 4: Simplify right side
   724.78x = 3,841,722.50
5. Step 5: Solve for x
   x = 3,841,722.50/724.78
6. Step 6: Final answer
   x = 5,300.53