Finding the Third Proportional to 10,233 and 23,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 23,665.50 = 23,665.50 : x
2. Step 2: Convert to fraction form
   10,233/23,665.50 = 23,665.50/x
3. Step 3: Cross multiply
   10,233x = 23,665.50 × 23,665.50
4. Step 4: Simplify right side
   10,233x = 560,055,890.25
5. Step 5: Solve for x
   x = 560,055,890.25/10,233
6. Step 6: Final answer
   x = 54,730.37