Finding the Third Proportional to 2,894.50 and 6,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.50 : 6,333.50 = 6,333.50 : x
2. Step 2: Convert to fraction form
   2,894.50/6,333.50 = 6,333.50/x
3. Step 3: Cross multiply
   2,894.50x = 6,333.50 × 6,333.50
4. Step 4: Simplify right side
   2,894.50x = 40,113,222.25
5. Step 5: Solve for x
   x = 40,113,222.25/2,894.50
6. Step 6: Final answer
   x = 13,858.43