Finding the Third Proportional to 2,965.50 and 4,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,965.50 : 4,777.50 = 4,777.50 : x
2. Step 2: Convert to fraction form
   2,965.50/4,777.50 = 4,777.50/x
3. Step 3: Cross multiply
   2,965.50x = 4,777.50 × 4,777.50
4. Step 4: Simplify right side
   2,965.50x = 22,824,506.25
5. Step 5: Solve for x
   x = 22,824,506.25/2,965.50
6. Step 6: Final answer
   x = 7,696.68