Finding the Third Proportional to 661.69 and 972.94

Step by Step Solution

1. Step 1: Write the proportion equation
   661.69 : 972.94 = 972.94 : x
2. Step 2: Convert to fraction form
   661.69/972.94 = 972.94/x
3. Step 3: Cross multiply
   661.69x = 972.94 × 972.94
4. Step 4: Simplify right side
   661.69x = 946,607.38
5. Step 5: Solve for x
   x = 946,607.38/661.69
6. Step 6: Final answer
   x = 1,430.60