Finding the Third Proportional to 2,772 and 5,969.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772 : 5,969.25 = 5,969.25 : x
2. Step 2: Convert to fraction form
   2,772/5,969.25 = 5,969.25/x
3. Step 3: Cross multiply
   2,772x = 5,969.25 × 5,969.25
4. Step 4: Simplify right side
   2,772x = 35,631,945.56
5. Step 5: Solve for x
   x = 35,631,945.56/2,772
6. Step 6: Final answer
   x = 12,854.24