Finding the Third Proportional to 13,578 and 25,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,578 : 25,216.50 = 25,216.50 : x
2. Step 2: Convert to fraction form
   13,578/25,216.50 = 25,216.50/x
3. Step 3: Cross multiply
   13,578x = 25,216.50 × 25,216.50
4. Step 4: Simplify right side
   13,578x = 635,871,872.25
5. Step 5: Solve for x
   x = 635,871,872.25/13,578
6. Step 6: Final answer
   x = 46,831.04