Finding the Third Proportional to 13,238 and 16,092

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238 : 16,092 = 16,092 : x
2. Step 2: Convert to fraction form
   13,238/16,092 = 16,092/x
3. Step 3: Cross multiply
   13,238x = 16,092 × 16,092
4. Step 4: Simplify right side
   13,238x = 258,952,464
5. Step 5: Solve for x
   x = 258,952,464/13,238
6. Step 6: Final answer
   x = 19,561.30