Finding the Third Proportional to 2,274 and 4,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274 : 4,958.50 = 4,958.50 : x
2. Step 2: Convert to fraction form
   2,274/4,958.50 = 4,958.50/x
3. Step 3: Cross multiply
   2,274x = 4,958.50 × 4,958.50
4. Step 4: Simplify right side
   2,274x = 24,586,722.25
5. Step 5: Solve for x
   x = 24,586,722.25/2,274
6. Step 6: Final answer
   x = 10,812.10