Finding the Third Proportional to 2,738.81 and 5,972.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 5,972.06 = 5,972.06 : x
2. Step 2: Convert to fraction form
   2,738.81/5,972.06 = 5,972.06/x
3. Step 3: Cross multiply
   2,738.81x = 5,972.06 × 5,972.06
4. Step 4: Simplify right side
   2,738.81x = 35,665,530.50
5. Step 5: Solve for x
   x = 35,665,530.50/2,738.81
6. Step 6: Final answer
   x = 13,022.26