Finding the Third Proportional to 2,188.41 and 3,274.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.41 : 3,274.88 = 3,274.88 : x
2. Step 2: Convert to fraction form
   2,188.41/3,274.88 = 3,274.88/x
3. Step 3: Cross multiply
   2,188.41x = 3,274.88 × 3,274.88
4. Step 4: Simplify right side
   2,188.41x = 10,724,806.27
5. Step 5: Solve for x
   x = 10,724,806.27/2,188.41
6. Step 6: Final answer
   x = 4,900.74