Finding the Third Proportional to 10,233 and 13,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 13,657.50 = 13,657.50 : x
2. Step 2: Convert to fraction form
   10,233/13,657.50 = 13,657.50/x
3. Step 3: Cross multiply
   10,233x = 13,657.50 × 13,657.50
4. Step 4: Simplify right side
   10,233x = 186,527,306.25
5. Step 5: Solve for x
   x = 186,527,306.25/10,233
6. Step 6: Final answer
   x = 18,228.02