Finding the Third Proportional to 14,109 and 19,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,109 : 19,726.50 = 19,726.50 : x
2. Step 2: Convert to fraction form
   14,109/19,726.50 = 19,726.50/x
3. Step 3: Cross multiply
   14,109x = 19,726.50 × 19,726.50
4. Step 4: Simplify right side
   14,109x = 389,134,802.25
5. Step 5: Solve for x
   x = 389,134,802.25/14,109
6. Step 6: Final answer
   x = 27,580.61