Finding the Third Proportional to 10,164 and 13,542

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 13,542 = 13,542 : x
2. Step 2: Convert to fraction form
   10,164/13,542 = 13,542/x
3. Step 3: Cross multiply
   10,164x = 13,542 × 13,542
4. Step 4: Simplify right side
   10,164x = 183,385,764
5. Step 5: Solve for x
   x = 183,385,764/10,164
6. Step 6: Final answer
   x = 18,042.68