Finding the Third Proportional to 2,965 and 4,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,965 : 4,069.50 = 4,069.50 : x
2. Step 2: Convert to fraction form
   2,965/4,069.50 = 4,069.50/x
3. Step 3: Cross multiply
   2,965x = 4,069.50 × 4,069.50
4. Step 4: Simplify right side
   2,965x = 16,560,830.25
5. Step 5: Solve for x
   x = 16,560,830.25/2,965
6. Step 6: Final answer
   x = 5,585.44