Finding the Third Proportional to 14,378 and 19,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,378 : 19,321.50 = 19,321.50 : x
2. Step 2: Convert to fraction form
   14,378/19,321.50 = 19,321.50/x
3. Step 3: Cross multiply
   14,378x = 19,321.50 × 19,321.50
4. Step 4: Simplify right side
   14,378x = 373,320,362.25
5. Step 5: Solve for x
   x = 373,320,362.25/14,378
6. Step 6: Final answer
   x = 25,964.69