Finding the Third Proportional to 477.50 and 968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   477.50 : 968.50 = 968.50 : x
2. Step 2: Convert to fraction form
   477.50/968.50 = 968.50/x
3. Step 3: Cross multiply
   477.50x = 968.50 × 968.50
4. Step 4: Simplify right side
   477.50x = 937,992.25
5. Step 5: Solve for x
   x = 937,992.25/477.50
6. Step 6: Final answer
   x = 1,964.38