Finding the Third Proportional to 14,309 and 19,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,309 : 19,105.50 = 19,105.50 : x
2. Step 2: Convert to fraction form
   14,309/19,105.50 = 19,105.50/x
3. Step 3: Cross multiply
   14,309x = 19,105.50 × 19,105.50
4. Step 4: Simplify right side
   14,309x = 365,020,130.25
5. Step 5: Solve for x
   x = 365,020,130.25/14,309
6. Step 6: Final answer
   x = 25,509.83