Finding the Third Proportional to 2,353.50 and 4,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.50 : 4,963.50 = 4,963.50 : x
2. Step 2: Convert to fraction form
   2,353.50/4,963.50 = 4,963.50/x
3. Step 3: Cross multiply
   2,353.50x = 4,963.50 × 4,963.50
4. Step 4: Simplify right side
   2,353.50x = 24,636,332.25
5. Step 5: Solve for x
   x = 24,636,332.25/2,353.50
6. Step 6: Final answer
   x = 10,467.96