Finding the Third Proportional to 13,188 and 19,834

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188 : 19,834 = 19,834 : x
2. Step 2: Convert to fraction form
   13,188/19,834 = 19,834/x
3. Step 3: Cross multiply
   13,188x = 19,834 × 19,834
4. Step 4: Simplify right side
   13,188x = 393,387,556
5. Step 5: Solve for x
   x = 393,387,556/13,188
6. Step 6: Final answer
   x = 29,829.21