Finding the Third Proportional to 13,278.50 and 19,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,278.50 : 19,369.50 = 19,369.50 : x
2. Step 2: Convert to fraction form
   13,278.50/19,369.50 = 19,369.50/x
3. Step 3: Cross multiply
   13,278.50x = 19,369.50 × 19,369.50
4. Step 4: Simplify right side
   13,278.50x = 375,177,530.25
5. Step 5: Solve for x
   x = 375,177,530.25/13,278.50
6. Step 6: Final answer
   x = 28,254.51