Finding the Third Proportional to 13,188 and 19,238

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188 : 19,238 = 19,238 : x
2. Step 2: Convert to fraction form
   13,188/19,238 = 19,238/x
3. Step 3: Cross multiply
   13,188x = 19,238 × 19,238
4. Step 4: Simplify right side
   13,188x = 370,100,644
5. Step 5: Solve for x
   x = 370,100,644/13,188
6. Step 6: Final answer
   x = 28,063.44