Finding the Third Proportional to 407.72 and 962.30

Step by Step Solution

1. Step 1: Write the proportion equation
   407.72 : 962.30 = 962.30 : x
2. Step 2: Convert to fraction form
   407.72/962.30 = 962.30/x
3. Step 3: Cross multiply
   407.72x = 962.30 × 962.30
4. Step 4: Simplify right side
   407.72x = 926,015.28
5. Step 5: Solve for x
   x = 926,015.28/407.72
6. Step 6: Final answer
   x = 2,271.21