Finding the Third Proportional to 10,209 and 14,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209 : 14,185.50 = 14,185.50 : x
2. Step 2: Convert to fraction form
   10,209/14,185.50 = 14,185.50/x
3. Step 3: Cross multiply
   10,209x = 14,185.50 × 14,185.50
4. Step 4: Simplify right side
   10,209x = 201,228,410.25
5. Step 5: Solve for x
   x = 201,228,410.25/10,209
6. Step 6: Final answer
   x = 19,710.88