Finding the Third Proportional to 15,768 and 33,642

Step by Step Solution

1. Step 1: Write the proportion equation
   15,768 : 33,642 = 33,642 : x
2. Step 2: Convert to fraction form
   15,768/33,642 = 33,642/x
3. Step 3: Cross multiply
   15,768x = 33,642 × 33,642
4. Step 4: Simplify right side
   15,768x = 1,131,784,164
5. Step 5: Solve for x
   x = 1,131,784,164/15,768
6. Step 6: Final answer
   x = 71,777.28