Finding the Third Proportional to 2,233.50 and 4,898.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.50 : 4,898.63 = 4,898.63 : x
2. Step 2: Convert to fraction form
   2,233.50/4,898.63 = 4,898.63/x
3. Step 3: Cross multiply
   2,233.50x = 4,898.63 × 4,898.63
4. Step 4: Simplify right side
   2,233.50x = 23,996,526.89
5. Step 5: Solve for x
   x = 23,996,526.89/2,233.50
6. Step 6: Final answer
   x = 10,743.91