Finding the Third Proportional to 2,772.19 and 5,984.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.19 : 5,984.06 = 5,984.06 : x
2. Step 2: Convert to fraction form
   2,772.19/5,984.06 = 5,984.06/x
3. Step 3: Cross multiply
   2,772.19x = 5,984.06 × 5,984.06
4. Step 4: Simplify right side
   2,772.19x = 35,809,004.00
5. Step 5: Solve for x
   x = 35,809,004.00/2,772.19
6. Step 6: Final answer
   x = 12,917.24