Finding the Third Proportional to 10,305 and 13,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,305 : 13,864.50 = 13,864.50 : x
2. Step 2: Convert to fraction form
   10,305/13,864.50 = 13,864.50/x
3. Step 3: Cross multiply
   10,305x = 13,864.50 × 13,864.50
4. Step 4: Simplify right side
   10,305x = 192,224,360.25
5. Step 5: Solve for x
   x = 192,224,360.25/10,305
6. Step 6: Final answer
   x = 18,653.50