Finding the Third Proportional to 2,967 and 3,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,967 : 3,970.50 = 3,970.50 : x
2. Step 2: Convert to fraction form
   2,967/3,970.50 = 3,970.50/x
3. Step 3: Cross multiply
   2,967x = 3,970.50 × 3,970.50
4. Step 4: Simplify right side
   2,967x = 15,764,870.25
5. Step 5: Solve for x
   x = 15,764,870.25/2,967
6. Step 6: Final answer
   x = 5,313.40