Finding the Third Proportional to 2,284 and 4,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284 : 4,930.50 = 4,930.50 : x
2. Step 2: Convert to fraction form
   2,284/4,930.50 = 4,930.50/x
3. Step 3: Cross multiply
   2,284x = 4,930.50 × 4,930.50
4. Step 4: Simplify right side
   2,284x = 24,309,830.25
5. Step 5: Solve for x
   x = 24,309,830.25/2,284
6. Step 6: Final answer
   x = 10,643.53