Finding the Third Proportional to 653.25 and 956.25

Step by Step Solution

1. Step 1: Write the proportion equation
   653.25 : 956.25 = 956.25 : x
2. Step 2: Convert to fraction form
   653.25/956.25 = 956.25/x
3. Step 3: Cross multiply
   653.25x = 956.25 × 956.25
4. Step 4: Simplify right side
   653.25x = 914,414.06
5. Step 5: Solve for x
   x = 914,414.06/653.25
6. Step 6: Final answer
   x = 1,399.79