Finding the Third Proportional to 2,072 and 3,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072 : 3,274.50 = 3,274.50 : x
2. Step 2: Convert to fraction form
   2,072/3,274.50 = 3,274.50/x
3. Step 3: Cross multiply
   2,072x = 3,274.50 × 3,274.50
4. Step 4: Simplify right side
   2,072x = 10,722,350.25
5. Step 5: Solve for x
   x = 10,722,350.25/2,072
6. Step 6: Final answer
   x = 5,174.88