Finding the Third Proportional to 2,274.75 and 4,993.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274.75 : 4,993.88 = 4,993.88 : x
2. Step 2: Convert to fraction form
   2,274.75/4,993.88 = 4,993.88/x
3. Step 3: Cross multiply
   2,274.75x = 4,993.88 × 4,993.88
4. Step 4: Simplify right side
   2,274.75x = 24,938,787.52
5. Step 5: Solve for x
   x = 24,938,787.52/2,274.75
6. Step 6: Final answer
   x = 10,963.31