Finding the Third Proportional to 10,665 and 14,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 14,269.50 = 14,269.50 : x
2. Step 2: Convert to fraction form
   10,665/14,269.50 = 14,269.50/x
3. Step 3: Cross multiply
   10,665x = 14,269.50 × 14,269.50
4. Step 4: Simplify right side
   10,665x = 203,618,630.25
5. Step 5: Solve for x
   x = 203,618,630.25/10,665
6. Step 6: Final answer
   x = 19,092.23