Finding the Third Proportional to 648 and 976.69

Step by Step Solution

1. Step 1: Write the proportion equation
   648 : 976.69 = 976.69 : x
2. Step 2: Convert to fraction form
   648/976.69 = 976.69/x
3. Step 3: Cross multiply
   648x = 976.69 × 976.69
4. Step 4: Simplify right side
   648x = 953,918.47
5. Step 5: Solve for x
   x = 953,918.47/648
6. Step 6: Final answer
   x = 1,472.10