Finding the Third Proportional to 964.69 and 1,548.56

Step by Step Solution

1. Step 1: Write the proportion equation
   964.69 : 1,548.56 = 1,548.56 : x
2. Step 2: Convert to fraction form
   964.69/1,548.56 = 1,548.56/x
3. Step 3: Cross multiply
   964.69x = 1,548.56 × 1,548.56
4. Step 4: Simplify right side
   964.69x = 2,398,045.82
5. Step 5: Solve for x
   x = 2,398,045.82/964.69
6. Step 6: Final answer
   x = 2,485.83