Finding the Third Proportional to 10,164 and 13,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 13,963.50 = 13,963.50 : x
2. Step 2: Convert to fraction form
   10,164/13,963.50 = 13,963.50/x
3. Step 3: Cross multiply
   10,164x = 13,963.50 × 13,963.50
4. Step 4: Simplify right side
   10,164x = 194,979,332.25
5. Step 5: Solve for x
   x = 194,979,332.25/10,164
6. Step 6: Final answer
   x = 19,183.33