Finding the Third Proportional to 13,642 and 20,012

Step by Step Solution

1. Step 1: Write the proportion equation
   13,642 : 20,012 = 20,012 : x
2. Step 2: Convert to fraction form
   13,642/20,012 = 20,012/x
3. Step 3: Cross multiply
   13,642x = 20,012 × 20,012
4. Step 4: Simplify right side
   13,642x = 400,480,144
5. Step 5: Solve for x
   x = 400,480,144/13,642
6. Step 6: Final answer
   x = 29,356.41