Finding the Third Proportional to 10,214 and 14,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 14,065.50 = 14,065.50 : x
2. Step 2: Convert to fraction form
   10,214/14,065.50 = 14,065.50/x
3. Step 3: Cross multiply
   10,214x = 14,065.50 × 14,065.50
4. Step 4: Simplify right side
   10,214x = 197,838,290.25
5. Step 5: Solve for x
   x = 197,838,290.25/10,214
6. Step 6: Final answer
   x = 19,369.33