Finding the Third Proportional to 1,494 and 3,274.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494 : 3,274.88 = 3,274.88 : x
2. Step 2: Convert to fraction form
   1,494/3,274.88 = 3,274.88/x
3. Step 3: Cross multiply
   1,494x = 3,274.88 × 3,274.88
4. Step 4: Simplify right side
   1,494x = 10,724,806.27
5. Step 5: Solve for x
   x = 10,724,806.27/1,494
6. Step 6: Final answer
   x = 7,178.59