Finding the Third Proportional to 661.25 and 971.38

Step by Step Solution

1. Step 1: Write the proportion equation
   661.25 : 971.38 = 971.38 : x
2. Step 2: Convert to fraction form
   661.25/971.38 = 971.38/x
3. Step 3: Cross multiply
   661.25x = 971.38 × 971.38
4. Step 4: Simplify right side
   661.25x = 943,569.39
5. Step 5: Solve for x
   x = 943,569.39/661.25
6. Step 6: Final answer
   x = 1,426.95