Finding the Third Proportional to 13,238 and 19,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238 : 19,451.50 = 19,451.50 : x
2. Step 2: Convert to fraction form
   13,238/19,451.50 = 19,451.50/x
3. Step 3: Cross multiply
   13,238x = 19,451.50 × 19,451.50
4. Step 4: Simplify right side
   13,238x = 378,360,852.25
5. Step 5: Solve for x
   x = 378,360,852.25/13,238
6. Step 6: Final answer
   x = 28,581.42