Finding the Third Proportional to 661.37 and 972.30

Step by Step Solution

1. Step 1: Write the proportion equation
   661.37 : 972.30 = 972.30 : x
2. Step 2: Convert to fraction form
   661.37/972.30 = 972.30/x
3. Step 3: Cross multiply
   661.37x = 972.30 × 972.30
4. Step 4: Simplify right side
   661.37x = 945,360.74
5. Step 5: Solve for x
   x = 945,360.74/661.37
6. Step 6: Final answer
   x = 1,429.40