Finding the Third Proportional to 10,392 and 13,642

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392 : 13,642 = 13,642 : x
2. Step 2: Convert to fraction form
   10,392/13,642 = 13,642/x
3. Step 3: Cross multiply
   10,392x = 13,642 × 13,642
4. Step 4: Simplify right side
   10,392x = 186,104,164
5. Step 5: Solve for x
   x = 186,104,164/10,392
6. Step 6: Final answer
   x = 17,908.41