Finding the Third Proportional to 964.69 and 1,254.38

Step by Step Solution

1. Step 1: Write the proportion equation
   964.69 : 1,254.38 = 1,254.38 : x
2. Step 2: Convert to fraction form
   964.69/1,254.38 = 1,254.38/x
3. Step 3: Cross multiply
   964.69x = 1,254.38 × 1,254.38
4. Step 4: Simplify right side
   964.69x = 1,573,456.64
5. Step 5: Solve for x
   x = 1,573,456.64/964.69
6. Step 6: Final answer
   x = 1,631.05