Finding the Third Proportional to 456.38 and 967.88

Step by Step Solution

1. Step 1: Write the proportion equation
   456.38 : 967.88 = 967.88 : x
2. Step 2: Convert to fraction form
   456.38/967.88 = 967.88/x
3. Step 3: Cross multiply
   456.38x = 967.88 × 967.88
4. Step 4: Simplify right side
   456.38x = 936,782.02
5. Step 5: Solve for x
   x = 936,782.02/456.38
6. Step 6: Final answer
   x = 2,052.66